fun-lim

Related Questions

• $\underset{x\to 1}{\mathop{\lim }}\,\frac{(2x-3)(\sqrt{x}-1)}{2{{x}^{2}}+x-3}=$

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• The natural domain of the real valued function defined by $f(x)=\sqrt{{{x}^{2}}-1}+\sqrt{{{x}^{2}}+1}$ is

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• $\underset{n\to \infty }{\mathop{\lim }}\,\left\{ \frac{1}{{{n}^{2}}}+\frac{2}{{{n}^{2}}}+\frac{3}{{{n}^{2}}}+......+\frac{n}{{{n}^{2}}} \right\}$ is

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• If $f(x)={{x}^{2}}+1$, then ${{f}^{-1}}(17)$ and ${{f}^{-1}}(-3)$will be

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• If ${{S}_{n}}=\sum\limits_{k=1}^{n}{{{a}_{k}}}$ and$\underset{n\to \infty }{\mathop{\lim }}\,{{a}_{n}}=a,$ then $\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{S}_{n+1}}-{{S}_{n}}}{\sqrt{\sum\limits_{k=1}^{n}{k}}}$ is equal to

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