fun-lim

Related Questions

• 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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• A condition for a function $y=f(x)$ to have an inverse is that it should be

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• $\underset{n\to \infty }{\mathop{\lim }}\,{{\left( \frac{n}{n+y} \right)}^{n}}$ equals

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• If $f(x)=\log \frac{1+x}{1-x}$, then $f(x)$ is

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• $\underset{x\to 4}{\mathop{\lim }}\,\left[ \frac{{{x}^{3/2}}-8}{x-4} \right]=$

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