fun-lim

Related Questions

• If $f(x)=\frac{2x-1}{x+5}$$(x\ne -5)$, then ${{f}^{-1}}(x)$ is equal to

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• If $f(x) = \begin{cases} \frac{{\sin [x]}}{{[x]}},{\rm{ when }}[x] \ne 0\\ \,\,\,\,\,\,\,\,\,0,{\rm{ when }}[x] = 0 \end{cases}$ where $[x]$ is greatest integer function, then $\underset{x\to 0}{\mathop{\lim }}\,f(x)=$

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• If $f(x)={{x}^{2}}+1$,then $fof(x)$ is equal to

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin x-x}{{{x}^{3}}}=$

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• Let $f(x)=\frac{{{x}^{2}}-4}{{{x}^{2}}+4}$ for $|x|\ >2$, then the function $f:(-\infty ,\ -2]\cup [2,\ \infty )\to (-1,\ 1)$ is

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