fun-lim

Related Questions

• The value of $\underset{x\to \infty }{\mathop{\lim }}\,\sqrt{{{a}^{2}}{{x}^{2}}+ax+1}-\sqrt{{{a}^{2}}{{x}^{2}}+1}$ is

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• The function $f(x)=\frac{{{\sec }^{-1}}x}{\sqrt{x-[x]}},$ where [.] denotes the greatest integer less than or equal to x is defined for all x belonging to

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• The value of $\underset{x\to 0}{\mathop{\lim }}\,\,\left[ \frac{\sqrt{a+x}-\sqrt{a-x}}{x} \right]$ is

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• If $f(x)=\cos (\log x)$, then $f(x)f(y)-\frac{1}{2}[f(x/y)+f(xy)]=$

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• $\underset{x\to 0}{\mathop{\lim }}\,\left( \frac{{{a}^{x}}-{{b}^{x}}}{x} \right)=$

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