fun-lim

Related Questions

• $\underset{x\to 0}{\mathop{\lim }}\,\frac{x{{e}^{x}}-\log (1+x)}{{{x}^{2}}}$ equals

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• If $f(1)\,=1,\,{f}'\,(1)\,=2$ , then $\underset{x\to 1}{\mathop{\lim }}\,\frac{\sqrt{f(x)}-1}{\sqrt{x}-1}$ is

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

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• Let $f(x) = \begin{cases} \frac{1}{2},\;if\;0 \le x \le \frac{1}{2}\\ \frac{1}{3},\;if\;\frac{1}{2} < x \le 1 \end{cases}$, then $f$ is

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• If $\underset{x\to 5}{\mathop{\lim }}\,\frac{{{x}^{k}}-{{5}^{k}}}{x-5}=500$ , then the positve integral value of k is

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