fun-lim

Related Questions

• $\underset{x\to 3}{\mathop{\lim }}\,\,[x]=$ , (where [.] = greatest integer function)

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

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• The value of the limit of $\frac{{{x}^{3}}-8}{{{x}^{2}}-4}$ as x tends to 2 is

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• The domain of the function $f(x)={{\sin }^{-1}}\{{{(1+{{e}^{x}})}^{-1}}\}$ is

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