fun-lim

Related Questions

• $\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{{{x}^{2}}+{{a}^{2}}}-\sqrt{{{x}^{2}}+{{b}^{2}}}}{\sqrt{{{x}^{2}}+{{c}^{2}}}-\sqrt{{{x}^{2}}+{{d}^{2}}}}=$

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin (2+x)-\sin (2-x)}{x}=$

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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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• If ‘n’ is an integer, the domain of the function $\sqrt{\sin 2x}$ is

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• $\underset{x\to \infty }{\mathop{\lim }}\,\frac{(x-1)(2x+3)}{{{x}^{2}}}=$

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