fun-lim

Related Questions

• If $f(x)=\cos (\log x)$, then $f({{x}^{2}})f({{y}^{2}})-\frac{1}{2}\left[ f\,\left( \frac{{{x}^{2}}}{2} \right)+f\left( \frac{{{x}^{2}}}{{{y}^{2}}} \right) \right]$ has the value

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• If $y=f(x)=\frac{x+2}{x-1}$, then $x=$

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• $\underset{x\to \infty }{\mathop{\lim }}\,\sqrt{\frac{x+\sin x}{x-\cos x}}=$

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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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• $\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log {{x}^{n}}-[x]}{[x]},\,n\in N,\,$ $\,(\,[x]$ denotes greatest integer less than or equal to x)

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