Question
- 1
- -1
- 0
![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
Hint:
In this question, we have to find value of
.
The correct answer is: ![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
![Lt subscript x not stretchy rightwards arrow straight infinity end subscript space open parentheses square root of x squared plus x end root minus x close parentheses](data:image/png;base64,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)
The initial form for the limit is indeterminate ∞ - ∞ So, use the conjugate
![space open parentheses square root of x squared plus x end root minus x close parentheses fraction numerator square root of x squared plus x end root plus x over denominator square root of x squared plus x end root plus x end fraction space equals fraction numerator x squared plus x minus x squared over denominator square root of x squared plus x end root plus x end fraction space equals space fraction numerator x over denominator square root of x squared plus x end root plus x end fraction](data:image/png;base64,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)
![L t subscript x rightwards arrow infinity end subscript fraction numerator x over denominator square root of x squared plus x end root plus x end fraction space h a s space i n d e t e r m i n a t e space f o r m space infinity over infinity comma space b u t space w e space c a n space f a c t o r space a n d space r e d u c e.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAmkAAAArCAYAAAAjfh+cAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAU2v5G4wAADJlJREFUeNrtnQ2IVccVxwdZFllEELNsZZEEEQkSRAhirC0SKkGCLEEIIiUkYhGRIiEUpFjZhkUiaTBBFqHYsIiIsISlpCJCECsiJTQEsdaKECQE2QbBBhuspFu28/edu3vf7My9Z+6979333v5/MPDe/ZqZM2dmznwbQzqRfdYd91wfk3uEEEIIIaQmvrRuKPV/r3XjFAshPcvr1n1h3SPrblh3zLqVqfsbrDtr3S3rPrNulCIjhJB62GHdCfm93brLFAkhPctu6z6RfA93zrpZ66atWyeNtJvWvZh6Z4sYcoQQQmoAreVt0qpeSXEQ0rOc9VwbFUPtvnW3rVvheeZXprnHnRBCSJt427ofTGOYgxDSu5wKXB8XQ+1z65Z67o9Y9wrFRwgh7WWraQx/YMhzD8VBSE9zMnAdPWz3xVC75DHUsMBokOIjhJD2sca6T60bsG6ZaUwm5nAnIb3LLusOpf4PSSPtYykDromhhqkPSe8Z5qOdougIIaR9oFV80THKdhr/nBVCyEKWmO6cp4XFA9dNY2gT81Ffc+4fsO6qdd9Zd8+6o0xq6idZfDwWJSLtp9+6KeuGPffOm8aqL+pcd4Shl/JRN8UFeeShOGxV0cdihWU/9ZM62Sv5Ya1pLPPOun+dekPaqHPdGIYi3+vUvNXK9Kk6zqjwMH9ro/xfz+xVax5gXdE+/exFeddZN3RCveQF3evnM+5j3sQ55jXSRp1bLHFajHmr6jjv6kFd6tZ8yLqivfrZi/Kus27o2HoJ+/Iczrg3m3KHmedIhTqHOXhYyfqtaQwFHHKeQ7fzu3If25JgAvWznu8dse5r62Yi9NTVe/xP9p+aMI1ub1+YACZ1Y2Ue5gk9MY3J3uMef5OJ4E8kfNsi8lbWu+nwY87SF/LcYefekIQT8sMGqa/K/RUid8QPO93/uiLZ5KVX2TjHll+Y64lJ+N/LN8+YhSslWynHbsiHRyTNpiXuV6xbpZTxqCMrTV0RMizGRMdcsKH3CyX0I8mv75tGjxb0csrM7z+nKWNiygatfmrLtlDY8+RdVvdNwTC3ohw1keHW6InGb43ea3SsjO4+ZdIsnKwac5+QWCZF0bF6bUQy/7Ao8EDquQuSkVbIMz5dRCVz2jTm9pXR+0kpSCYkA4XCtEQqsr3ye3mqwEx/D9dvSvwAhjluKfOW9l0UCB+Yxspgn3xRgGErlz4pTO9JBYyJ6Lvl+mqJ41AFstGkV5k4u0w5FVV625oV8r10Op2XgrRdcuyGfPiVVDhJmp3w9CaE0synJ3l1xVpPukKX7sr7abZIxVZUP5LKE8ftHZNv9IsRsTNSZzX6H6OfGn/zwh6SdxW676NKWWnL0ZDehsKt0ROt31q9z0unoro7x13jn7SecCdg4RNSlLuS4Zc51x+a+RWuezyF9plUL0YC5mRsLxiGYef/fs9z6TCBo4HWlfu99z09KxccYzKUtzTv3pVeiVDcLpuFu9XfF4PWd31VSdlo06tMnEPl0+rA995xrq2RuJg2ybEb8uF6TyX3SFlHuNe1dYU7ORs9Pphc/40nbz9fUj+Om/B+dFqd1ZYNWv3U+psV9ry8VFb3Wy0rbTka0ttQuDV6ovVbq/d56VRUd+csyu9z7j/uUkNglq42p9E5twXa5+jaFWlJp7nqKZRel1bMSIRuuHodygd9Hv3/xmNc+r6HbvRB59qjVOUUyltl3k3fG4i8XlY2mvQqE+eY8gnXH5iFwztLxR/TBjm2u0yKJRTepY6RliXjxwXrir9Yt0l+vyB6khgdieG7I2UUlNGPB8Z/tFaMzmrLBq2Mtf5mhb2Vut8OWWnK0VibRKsn2jJcq/d56VREd+fYLMLPun+VHT+kQjYb/8HxWxxddFvbWQ0K9F5ck/eXFdD7UD5ww7QxkB983/NVpNcVeUv77pXIPK29XlQ2mvQqE+eYuL4o+lA03auQYzfkw1C6Xi6oN9q6Aj0wu+X3Z2b+APnJVGPrRqoXrah+bAroQazOavQ/RsYaf/PCHpJ3Fbrfallpy9FYm0WjJzFluEbvNelURHebujAncu6foV1BKiSkc+71B879rdJjFgItRYz7v1EgDNowoYv9rOK5EbNwaECbt7TvTpSUr1YWVaZXmTjHxDX0PZyLe6xNcuzWfIhhsqOK59706Im2rjhoGpO0X7buj6nrmJSOuUHuKrui+oGhuKmM+1qdLZreoWc0/uaFPTYvxeh+q2WlLUdjyz6Nnmj91up9XjoV1d05MI66N+P+R9b9knYFqZCQzuH6vtT/+6a5yx4Vxyc538bclp8rw7Av43/o+muBDIdMv99pOX6eE4ZQ3tK8Gwpvcm9/ietFZaNJrzJxjokrhsouOtfQ8r+d6p1ptRy7MR/2S0NnlZNmhzy9PNOO7GLqiqRiu+Gkxy65fsu5XlQ/0Kt0J+O+Rme1+h+jQxp/88IekncVut9qWWnL0diyT6MnWr+1ep+XTkV1d44pk72j/bhUfCHQzbchpQg4DFi7yADWqGZo6h1pVeG8uo2OsD+WRHuetk/XMGUWTjb1XceS/N+LXkGnznkKHzcDoSBaWSAM2jANiB8bUxn0ghRg7vu3pfWK8GO+AiaO/lSZt/LeDYU3Ji5aWVSZXmXiHBPXZAPRZHXVsDx7RPl+FXKsE5SXeavkEF5MgN7uyMg13EalxwbpMij/xz3xzasrjJOPZj09FSjHZwI9HUX0w4gheEx0Yrl8Y2uEzpZJ79Az2rItK+wheVeh+6ZgmFtRjsbKPU9PtH5r9T4vnWJ01zu/9KEJT0RFq2q9BD7577LTzHdLnzD6lSLgtBQSmzOegWJhYvg6McYQjoOinG84hlzZw8iXmsU1gb8uHpqFk1pD149Iq+eo3PvWqXi+k3iiYL8SYay7fsWEaUgyKpaUYwL0y4Hn1kgjZkYyqdv6y8pbee+GwhsbF40sqkyvMnGOiauRQhDf+UFaunsj3y8rx0430pA2I1IGz0hFE9rO4ZLI8Wqq8nfjm1dXuDzwNOiXiD++fFxEP8BqCfeM9BLui9TZMumd9Uyev3lhz5J3Wd03BcPcinI0NtwaPdH4rdV7jY5pdbdl9fYNsRJPB+4fzDEkZsQI8+F2N74r74x5MvfukvFAj+Jf2dHV0QxSBEyv1LenKeJMQ+1ViqE2nY3Vz0Hmb9IqToq1HruZKIw6bKS4KeOZA57eB1iyWGmS7k5cJT1uZfjQuveYnIR0PB9JmXOcovCCoRwe5E39JOTpfAa02G4XsKo1c9JgeKGHDEOZ6LKdFH8mxVDDODB66jA+Xvbk+n9Y9xKTlJCOB/NIdlEMQTAPaYhioH6SxU0yDrtMDKWxFvmDOWtY9rrNkxHeFCOuv6Qfz1n3r5Itz2T4FmPY2ANlLVWEEKJoiOLYKWxumUxATs+vxcIsTKRHzxj2FBulyAghecAowkS4dan/Xxndas1OBEuZz1f0rSVitH5JNSGEZIAGJrYx2CHunDT0pqVsxejBTTO/2SvYYpr3uyKEkJ7nT9a9VfE3n1CshJAMfFtNJAc9Y+UeppH4jpvB4c0cziSELAowxPlv635U4TcxNMvjtAghWZwKXB8XQw2bYPq2G8DWGa9QfISQxUDVW29gpSnmpK2haAkhGZwMXEcPW7IH1iWPoYZVg9z+gBCyKPidqW7RA+aRXDDNx6oQQogPrABM7wWJIUzMUcNm3Zjfe00MNSwoSHrPMB/tFEVHCFksYOuNn1TwHRhmOCZjeYF36zodYJbJT0itYPEAet4xtInVm+6u89grElMncLrGPdN8+DkhhPQ0z5n8rTdwhINvU8Ix03y8Awy0omeIxhhL2vB0sr+EEEIIIXM847mGVqpm6w1sp5FeTYWl8eMeg6fo2ZmxPVqa8HSyv4QQQgghTzeVnRCDxD2CSrv1BhYXnJDfOGXhcsVhjDWWqgpPXf4SQgghhJjfiJH2T9NYKZWAFVMY6tRuvYH5IthaA5N4V1ZglOW5VoSnLn8JIYQQQoK8bd1/zPxydvQE/S3yfRz5tKEFYZstGJ+y4anLX0IIIYSQJv5r3S/kN7be+K3yva2msTQeQ317OsBIqyo8dflLCCGEENLEn637u/zG1hsvKd7BprSfWjdgGnsX4TDkqof5YoylKsNTl7+EEEIIIU38zLr/Wfdj0zjEuC/neezqfdExRnYa/5l77TDSqg5PXf4SQgghhCwAiwXumPytN/qtm7Ju2HMP7+5oc7jrCk+nyYEQQgghPcofTKMH6S2KghBCCCGkcxgSI+0ZioIQQgghpLM4QBEQQgghhHQefRQBIYQQQjqN/wNQ7Uty8Zr/ZwAAA6B0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+TDwvbWk+PG1zdWI+PG1pPnQ8L21pPjxtcm93PjxtaT54PC9taT48bW8+JiN4MjE5Mjs8L21vPjxtbz4mI3gyMjFFOzwvbW8+PC9tcm93PjwvbXN1Yj48bWZyYWM+PG1pPng8L21pPjxtcm93Pjxtc3FydD48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+KzwvbW8+PG1pPng8L21pPjwvbXNxcnQ+PG1vPis8L21vPjxtaT54PC9taT48L21yb3c+PC9tZnJhYz48bW8+JiN4QTA7PC9tbz48bWk+aDwvbWk+PG1pPmE8L21pPjxtaT5zPC9taT48bW8+JiN4QTA7PC9tbz48bWk+aTwvbWk+PG1pPm48L21pPjxtaT5kPC9taT48bWk+ZTwvbWk+PG1pPnQ8L21pPjxtaT5lPC9taT48bWk+cjwvbWk+PG1pPm08L21pPjxtaT5pPC9taT48bWk+bjwvbWk+PG1pPmE8L21pPjxtaT50PC9taT48bWk+ZTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmY8L21pPjxtaT5vPC9taT48bWk+cjwvbWk+PG1pPm08L21pPjxtbz4mI3hBMDs8L21vPjxtZnJhYz48bW8+JiN4MjIxRTs8L21vPjxtbz4mI3gyMjFFOzwvbW8+PC9tZnJhYz48bW8+LDwvbW8+PG1vPiYjeEEwOzwvbW8+PG1pPmI8L21pPjxtaT51PC9taT48bWk+dDwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPnc8L21pPjxtaT5lPC9taT48bW8+JiN4QTA7PC9tbz48bWk+YzwvbWk+PG1pPmE8L21pPjxtaT5uPC9taT48bW8+JiN4QTA7PC9tbz48bWk+ZjwvbWk+PG1pPmE8L21pPjxtaT5jPC9taT48bWk+dDwvbWk+PG1pPm88L21pPjxtaT5yPC9taT48bW8+JiN4QTA7PC9tbz48bWk+YTwvbWk+PG1pPm48L21pPjxtaT5kPC9taT48bW8+JiN4QTA7PC9tbz48bWk+cjwvbWk+PG1pPmU8L21pPjxtaT5kPC9taT48bWk+dTwvbWk+PG1pPmM8L21pPjxtaT5lPC9taT48bW8+LjwvbW8+PC9tYXRoPleAN7oAAAAASUVORK5CYII=)
![L t subscript x rightwards arrow infinity end subscript fraction numerator x over denominator square root of x squared plus x end root plus x end fraction space equals L t subscript x rightwards arrow infinity end subscript fraction numerator x over denominator x square root of 1 plus begin display style 1 over x end style end root plus x end fraction](data:image/png;base64,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)
Also we can write ,
![L t subscript x rightwards arrow infinity end subscript fraction numerator 1 over denominator square root of 1 plus begin display style 1 over x end style end root plus 1 end fraction](data:image/png;base64,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)
On substituting, We get
![fraction numerator 1 over denominator square root of 1 plus begin display style 1 over infinity end style end root plus 1 end fraction space equals space 1 half](data:image/png;base64,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)
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
Related Questions to study
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
Young's modulus of the material of a wire is Y. On pulling the wire by a force F the increase in its length is x, what is the potential energy of the stretched wire?
Young's modulus of the material of a wire is Y. On pulling the wire by a force F the increase in its length is x, what is the potential energy of the stretched wire?
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
The figure shows P–V diagram of a thermodynamic cycle If
are the respective temperature at A, B, C and D Then, choose the correct statement if ![T subscript A end subscript equals T subscript 0 end subscript](data:image/png;base64,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)
![](data:image/png;base64,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)
The figure shows P–V diagram of a thermodynamic cycle If
are the respective temperature at A, B, C and D Then, choose the correct statement if ![T subscript A end subscript equals T subscript 0 end subscript](data:image/png;base64,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)
![](data:image/png;base64,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)
The figure shows P–V diagram of a thermodynamic cycle The work done by the cycle is
![](data:image/png;base64,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)
The figure shows P–V diagram of a thermodynamic cycle The work done by the cycle is
![](data:image/png;base64,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)
A monoatomic ideal gas sample is given heat Q One fourth of this heat is used as work done by the gas and rest is used for increasing its internal energy An ideal gas under goes a thermodynamic cycle as shown in fig Which of the following graphs represents the same cycle?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/488730/1/958612/Picture20.png)
A) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/488730/1/958612/Picture21.png)
B) 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)
C) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/488730/1/958612/Picture23.png)
D) ![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488730/1/958612/Picture24.png)
A monoatomic ideal gas sample is given heat Q One fourth of this heat is used as work done by the gas and rest is used for increasing its internal energy An ideal gas under goes a thermodynamic cycle as shown in fig Which of the following graphs represents the same cycle?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/488730/1/958612/Picture20.png)
A) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/488730/1/958612/Picture21.png)
B) 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)
C) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/488730/1/958612/Picture23.png)
D) ![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488730/1/958612/Picture24.png)
A monoatomic ideal gas sample is given heat Q One fourth of this heat is used as work done by the gas and rest is used for increasing its internal energy The P V diagram for the process is
A monoatomic ideal gas sample is given heat Q One fourth of this heat is used as work done by the gas and rest is used for increasing its internal energy The P V diagram for the process is
The V–T diagram of an ideal gas for the process
(straight lines) is as shown in the figure In the process ![A rightwards arrow B rightwards arrow C](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/489639/1/958608/Picture14.png)
A) pressure is always increasing
B) for some interval pressure decreases but finally pressure is more than initial pressure
C) pressure first increases then remains constant
D) graph AB is unpredictable about pressure
The V–T diagram of an ideal gas for the process
(straight lines) is as shown in the figure In the process ![A rightwards arrow B rightwards arrow C](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/489639/1/958608/Picture14.png)
A) pressure is always increasing
B) for some interval pressure decreases but finally pressure is more than initial pressure
C) pressure first increases then remains constant
D) graph AB is unpredictable about pressure
Statement-1: Two vessels A and B are connected to each other by a stopcock .Vessel A contains a gas at 300K and 1 atmosphere pressure and vessel B is evacuated The two vessels are thermally insulated from the surroundings If the stopcock is suddenly opened, the expanding gas does no work
Statement-2: Since D Q = 0 and as the gas expands freely so DW = 0 and from the first law of thermodynamics it follows that DU is also zero for the above process
Statement-1: Two vessels A and B are connected to each other by a stopcock .Vessel A contains a gas at 300K and 1 atmosphere pressure and vessel B is evacuated The two vessels are thermally insulated from the surroundings If the stopcock is suddenly opened, the expanding gas does no work
Statement-2: Since D Q = 0 and as the gas expands freely so DW = 0 and from the first law of thermodynamics it follows that DU is also zero for the above process
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or