fun-lim

Related Questions

• Suppose that $g(x)=1+\sqrt{x}$ and $f(g(x))=3+2\sqrt{x}+x$, then $f(x)$ is

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{1-\cos mx}{1-\cos nx}=$

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• If ${{x}_{n}}=\frac{1-2+3-4+5-6+.....-2n}{\sqrt{{{n}^{2}}+1}+\sqrt{4{{n}^{2}}-1}},$ then $\underset{n\to \infty }{\mathop{\lim }}\,{{x}_{n}}$ is equal to

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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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• If $f(x)=\cos (\log x)$, then the value of $f(x).f(4)-\frac{1}{2}\left[ f\left( \frac{x}{4} \right)+f(4x) \right]$

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