fun-lim

Related Questions

• $\underset{y\to 0}{\mathop{\lim }}\,\frac{(x+y)\sec (x+y)-x\sec x}{y}=$

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• $\underset{x\to 0+}{\mathop{\lim }}\,\frac{x{{e}^{1/x}}}{1+{{e}^{1/x}}}=$

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin (\pi {{\cos }^{2}}x)}{{{x}^{2}}}=$

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt{1+\sin x}-\sqrt{1-\sin x}}{x}=$

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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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