fun-lim

Related Questions

• $\underset{x\to \pi /2}{\mathop{\lim }}\,\tan x\log \sin x=$

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• The value of $\underset{x\to 0}{\mathop{\lim }}\,{{\left( \frac{{{a}^{x}}+{{b}^{x}}+{{c}^{x}}}{3} \right)}^{2/x}}$ ; $(a,\ b,\ c>0)$ is

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• The value of $\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{(2n-1)(2n+1)}$ is equal to

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

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