Maths-
General
Easy
Question
Hint:
To solve the limit of the function we will have to apply L hospital theorem from which we will get an equation with a and b after that again we have to apply L hospital theorem to get one more equation with a and b, now we can get the value of a and b using the two equations.
The correct answer is: ![fraction numerator negative 5 over denominator 2 end fraction comma fraction numerator negative 3 over denominator 2 end fraction](data:image/png;base64,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)
Related Questions to study
Maths-
Maths-General
Maths-
Maths-General
Maths-
If
then
If
then
Maths-General
maths-
maths-General
Maths-
The quadratic equation whose roots are I and m where l =
is
The quadratic equation whose roots are I and m where l =
is
Maths-General
Maths-
In ![straight triangle A B C comma left parenthesis a plus b plus c right parenthesis open parentheses tan invisible function application A over 2 plus tan invisible function application B over 2 close parentheses equals](data:image/png;base64,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)
In ![straight triangle A B C comma left parenthesis a plus b plus c right parenthesis open parentheses tan invisible function application A over 2 plus tan invisible function application B over 2 close parentheses equals](data:image/png;base64,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)
Maths-General
Maths-
Let f : [-10, 10] →R, where f(x) = sin x +
be an odd function. Then set of values of parameter a is/are
Let f : [-10, 10] →R, where f(x) = sin x +
be an odd function. Then set of values of parameter a is/are
Maths-General
physics-
Light wave enters from medium 1 to medium 2. Its velocity in 2nd medium is double from 1st. For total internal reflection the angle of incidence must be greater than
Light wave enters from medium 1 to medium 2. Its velocity in 2nd medium is double from 1st. For total internal reflection the angle of incidence must be greater than
physics-General
maths-
If the function
f(x) dt → 5 as |x| → I, then the value of ‘a’ so that the equation 2x +
f(t) dt = a has at least two roots of opposite signs in (-1, 1) is
If the function
f(x) dt → 5 as |x| → I, then the value of ‘a’ so that the equation 2x +
f(t) dt = a has at least two roots of opposite signs in (-1, 1) is
maths-General
Maths-
In ![straight triangle A B C comma fraction numerator a left parenthesis cos invisible function application B plus cos invisible function application C right parenthesis over denominator 2 left parenthesis b plus c right parenthesis end fraction equals](data:image/png;base64,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)
In ![straight triangle A B C comma fraction numerator a left parenthesis cos invisible function application B plus cos invisible function application C right parenthesis over denominator 2 left parenthesis b plus c right parenthesis end fraction equals](data:image/png;base64,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)
Maths-General
chemistry-
On Bohr’s stationary orbits -
On Bohr’s stationary orbits -
chemistry-General
chemistry-
For a valid Bohr orbit, its cicumfrence should be -
For a valid Bohr orbit, its cicumfrence should be -
chemistry-General
chemistry-
Arrange the following particles in increasing order of values of e/m ratio: Electron (e), proton (p), neutron (n) and α-particle (α) -
Arrange the following particles in increasing order of values of e/m ratio: Electron (e), proton (p), neutron (n) and α-particle (α) -
chemistry-General
Maths-
In ![straight triangle A B C comma open parentheses fraction numerator b minus c over denominator a end fraction close parentheses sin invisible function application open parentheses fraction numerator B plus C over denominator 2 end fraction close parentheses equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANYAAAAnCAYAAABzLbaSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAZpE86XgAABpFJREFUeNrtXX9kXlcYPuITE1EqpqYiRFTVVJiZqJoSM1HzGVURM1Oq+ldUiaiaT42pmYkpMVFVFaKqKvrPTETVjKmKiSkz+yOmykxMRIRv52mfa7d398c5995z7jn3uw+v9ju59zv3vOe+z33f97z3fEL0Fi5K+dbTa1/g9Tdo4BROSnkqpeXp9eO6N6S83xBUQ1SuYEDK71LGFY7dkdLn6Dje5jgGPSGoXSn7Uv6Q8puUB1LeMnhto1Ku8/p22O81KQcdJypvAeXeUDhujMp2nWmveUBQY7zBo/Nw09C1XZaySsMPiHFYymxKny4Qlbd4U8rfUg4rHNuWsuz4eMD42xyXqwQV6PJOpO3jmLY4dDWva07Kdx4Slde4IuW24rGf8/iOlD/pyqwZdl8G6b5sSdmTci/BdQljScpVhwkq0OVcpO2WlA9LNqwjdDPzxs5VEpXX2KR7oIIVTtIcb264FF8bfIrBqJ5I+ULKASn9dGlOZ5x3QsqvDhNUoMs2dThOMphVPFfHsL7S+F6XiMprgM1eaBz/TMqxSNsBMpoJfElXJA+eSznqKEEFuuxS/lF8UuUxrE3Gc0VQBVF5jc8UfXpBZt2JaX8jw7C6CpLU3wsFty8Jdzg+Fwmqj8Yk+BSelPIjv6dsHe6WNEbbROU14NNfUDz2PcZTUUxI+cHAtb0r5VGB889xfK4RVKDLqM5mGEuW+cTqL9GbsElU3gPp1ynFY6dFfFr2kiH/e4qJiryAa/XQQYIKdLkUaftEqGfudFxBPBkHShijTaLyHnBfVLM9CzGMBUbEupaJrOA7Bf36QU33zBZBJelyiQZXtmHhey+XMEabROU9dKoo7jHgnuTnw2wz6R5gARUZwRaTJLMMpIvEhFUTVKDLIFmB885wrP0GDGtEyl9S5kPxKuLi0zS6SQeJ6uVFITg8VeA7slKhqmUvOuUqeSYIwetHNK599tM2rF9UBqyzvw26IzrY0zy+a4GgBG/0IOmA+V0W6utfeTBGN26bfWK97a7mU9YaUfVxsif5b576ubOc/FaKQlTKXvKUqxS5kXxB15Jh1V2PeYkqFxC0d/j/Tg4/9iAN8vsU5lcpeylSrtIYll/91F6fQ+LVwluQbRng5yGN71hksPqpSH7FIKvspWi5Si8ZFlzlNbozSWs/3YTPZ6jnXbqmw41hmQGMYibSNs12FUzQdQMOcdLikFX2UrRcpZcM62fGiDr66NKorjMJIJisWW8M63/teRawXwNu8McJf0P78YzzW5zkMOuhHi5uVTur7KVouUovGdaOyK7iiDOsUzGx9V5jWOUjzXjSjC7s3kXjMaSUL8ZMYFrZSxnlKl2Fv7suquNrc26mNQ2ryHE+6VFXn6VCxd1bTJm8o3w6RYG3NB9E2rLKXsooV+m15MUgEz2bIr4uz5RhNa5gClQTFPj7L+LVIlwUj1I6jqbdVcpeipar9GpWcD6B4BrDquB+wfrRJcVj4ep1Im3npXyTcg4WCcMLdiplL0XLVXrVsOLipMawKrhfkKp9KtQXgft4/Cg/o1JiQ6TvHXAuYngqZS865SrLVEy7MayXul5rDKt6w7qfMxAMqrNXRPZbryhpeRb6rFr2olquEmdY+zW/EfZi4gCM+aGILwtrDKu3PZzciLqbLm9lVhQtYa8I1xZBnSBpbpM04MHMVERUDYhxJlXCCZItkf8NXdeBJJKtamxbBLXOGDsIKbBNQtYSgo9E5RXgRh6KtK0Kvb0W8gI3HZI5z0NMO2K4zylh7/2hKglqRNjZ69EmUXkPVL7beN0aBrwg/tvZaUWYf+XkvDC3+aWoiKCSsGuhD5tE5T2wLnbbcB/TNKQwbgm9d4HyxpO29mi4KarbD2JCZFf7+EZU3uMI3TOTWOPkR2MF064g3BZbuwrZIKg4YGnlJ6H+VrUvRFULbMTc+CYD+3ANpCmgcNbmPng2CCoKuNVYBvrAUn82iaoWQOXGkuEJCQPs+sTwmPD0mK8ZQYUxSqMas9SfbaKqBZDt0dlzXBdb4vW6SWyVdtfgeIb5RByyrEfTBBUATw3Uiw5YHFsVRFUL4FUWUz+UhhrLRbqAiKuwrYDJ7BJuuk4NCQrAcgkSQTZ/HLAqoqoFwH54i/m4oe+/whviKp9eiEdMpNuxCF7l7zmZJChgtYI4pyqiqg0Q+9j6qVQTPwkTbB56skIdmiaoQq++e0hUtQHWKm54eu14Ulxw4DpsEpRJuEBUDRrUhqCsENW/SORQPeicX9IAAAGHdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPiYjeDI1QjM7PC9taT48bWk+QTwvbWk+PG1pPkI8L21pPjxtaT5DPC9taT48bW8+LDwvbW8+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1mcmFjPjxtcm93PjxtaT5iPC9taT48bW8+JiN4MjIxMjs8L21vPjxtaT5jPC9taT48L21yb3c+PG1pPmE8L21pPjwvbWZyYWM+PC9tZmVuY2VkPjxtaT5zaW48L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1mcmFjPjxtcm93PjxtaT5CPC9taT48bW8+KzwvbW8+PG1pPkM8L21pPjwvbXJvdz48bW4+MjwvbW4+PC9tZnJhYz48L21mZW5jZWQ+PG1vPj08L21vPjwvbWF0aD7aKQH1AAAAAElFTkSuQmCC)
In ![straight triangle A B C comma open parentheses fraction numerator b minus c over denominator a end fraction close parentheses sin invisible function application open parentheses fraction numerator B plus C over denominator 2 end fraction close parentheses equals](data:image/png;base64,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)
Maths-General
physics-
An antenna behaves as resonant circuit only when its length is
An antenna behaves as resonant circuit only when its length is
physics-General