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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• The domain of the derivative of the function $f(x) = \begin{cases} {\tan ^{ - 1}}x\;\;\;\;\;,\;|x|\; \le 1\\ \frac{1}{2}(|x|\; - 1)\;,\;|x|\; > 1 \end{cases}$ is

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• A real valued function $f(x)$ satisfies the function equation $f(x-y)=f(x)f(y)-f(a-x)f(a+y)$ where a is a given constant and $f(0)=1$, $f(2a-x)$ is equal to

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• $\underset{x\to \infty }{\mathop{\lim }}\,\sqrt{x}(\sqrt{x+5}-\sqrt{x})=$

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• If $\underset{x\to 0}{\mathop{\lim }}\,\frac{[(a-n)\,nx-\tan x]\sin nx}{{{x}^{2}}}=0,$ where n is non zero real number, then a is equal to

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