fun-lim

Related Questions

• The natural domain of the real valued function defined by $f(x)=\sqrt{{{x}^{2}}-1}+\sqrt{{{x}^{2}}+1}$ is

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• $\underset{x\to 0}{\mathop{\lim }}\,\left( \frac{\tan 3x}{x}+\cos x \right)=$

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

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• Given that$f'$ (2)=6 and ${f}'(1)=4)=$ , then $\underset{h\to 0}{\mathop{\lim }}\,\frac{f(2h+2+{{h}^{2}})-f(2)}{f(h-{{h}^{2}}+1)-f(1)}=$

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• If $f(x) = \begin{cases} x, \text{if x is rational }\\ - x,\text{if x is irrational} \end{cases}$, then $\underset{x\to 0}{\mathop{\lim }}\,f(x)$ is

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