fun-lim

Related Questions

• A function f from the set of natural numbers to integers defined by $f(n) = \begin{cases} \frac{{n - 1}}{2},\text{when n is odd}\\ - \frac{n}{2},\text{when n is even} \end{cases}$, is

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• Inverse of the function $y=2x-3$ is

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• If $\underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1+\frac{a}{x}+\frac{b}{{{x}^{2}}} \right)}^{2x}}={{e}^{2}},$ then the values of a and b are

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• If $f(x)\,={{\cot }^{-1}}\left( \frac{3x-{{x}^{3}}}{1-3{{x}^{2}}} \right)$ and $g(x)={{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)$ , then $\underset{x\to a}{\mathop{\lim }}\,\frac{f(x)-f(a)}{g(x)\,-g(a)},$ $0<\,a < \frac{1}{2}$ is

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• $\underset{x\to a}{\mathop{\lim }}\,\frac{({{x}^{-1}}-{{a}^{-1}})}{x-a}=$

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