fun-lim

Related Questions

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

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• $\underset{x\to \pi /6}{\mathop{\lim }}\,\frac{{{\cot }^{2}}\theta -3}{\text{cosec}\theta -2}=$

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• If $f(x)={{\sin }^{2}}x$ and the composite function $g\{f(x)\}=|\sin x|$, then the function $g(x)$ is equal to

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• Let $f:R\to R$ be a differentiable function having $f(2)=6,f'(2)=\left( \frac{1}{48} \right).$ Then $\underset{x\to 2}{\mathop{\lim }}\,\int\limits_{6}^{f(x)}{\frac{4{{t}^{3}}}{x-2}}dt$ equals

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• The value of $\underset{x\to 0}{\mathop{\lim }}\,\,\frac{(1-\cos 2x)\sin 5x}{{{x}^{2}}\sin 3x}$ is

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