Question
- 1
![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
- 2
![1 fourth](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAGxJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYr8KFGDPEA8TVqGDQTiJMpNcgaiPdSWiaxAfElIJan1KAOIM6htJTUA+Kj1ChuTwKxCjUMommOH2J1GwCVNzk6FQ24cQAAAGJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjE8L21uPjxtbj40PC9tbj48L21mcmFjPjwvbWF0aD7CA6ZrAAAAAElFTkSuQmCC)
Hint:
In this question, we have to find value of
.
The correct answer is: 2
![L t subscript x rightwards arrow 0 end subscript fraction numerator left parenthesis 1 minus cos space 2 x right parenthesis left parenthesis 3 plus cos space x right parenthesis over denominator x tan space 4 x end fraction](data:image/png;base64,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)
= ![L t subscript x rightwards arrow 0 end subscript fraction numerator left parenthesis 2 sin squared x right parenthesis left parenthesis 3 plus cos space x right parenthesis over denominator x tan space 4 x end fraction space space space space W e space k o n w space t h a t space space left parenthesis 1 minus cos space 2 x right parenthesis space equals space 2 sin squared x space space](data:image/png;base64,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)
![L t subscript x rightwards arrow 0 end subscript fraction numerator 4 x over denominator tan space 4 x end fraction cross times fraction numerator left parenthesis sin squared x right parenthesis left parenthesis 3 plus cos space x right parenthesis over denominator 2 x squared end fraction space space space left parenthesis A l s o space W e space k n o w space t h a t space L t subscript x rightwards arrow 0 end subscript fraction numerator tan space x over denominator x end fraction equals 1 comma space L t subscript x rightwards arrow 0 end subscript fraction numerator sin x over denominator x end fraction equals space 1 right parenthesis
L t subscript x rightwards arrow 0 end subscript fraction numerator left parenthesis 3 plus cos space x right parenthesis over denominator 2 end fraction space
p u t space x equals 0 comma space t h e n
fraction numerator left parenthesis 3 plus cos space 0 right parenthesis over denominator 2 end fraction equals space 4 over 2 space equals 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The substitution rule for calculating limits is a method of finding limits, by simply substituting the value of x with the point at which we want to calculate the limit.
Related Questions to study
The radii of two soap bubbles are r1 and r2. In isothermal conditions two meet together is vacum. Then the radius of the resultant bubble is given by
The radii of two soap bubbles are r1 and r2. In isothermal conditions two meet together is vacum. Then the radius of the resultant bubble is given by
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 excess of pressure inside a soap bubble than that of the other pressure is
The excess of pressure inside a soap bubble than that of the other pressure is
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
Two wires of same diameter of the same material having the length
and 2
If the force is applied on each, what will be the ratio of the work done in the two wires?
Two wires of same diameter of the same material having the length
and 2
If the force is applied on each, what will be the ratio of the work done in the two wires?
A graph is shown between stress and strain for metals. The part in which Hooke's law holds good is
![](data:image/png;base64,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)
A graph is shown between stress and strain for metals. The part in which Hooke's law holds good is
![](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 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
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means