fun-lim

Related Questions

• If $f(x)=\frac{1}{\sqrt{x+2\sqrt{2x-4}}}+\frac{1}{\sqrt{x-2\sqrt{2x-4}}}$ for $x>2$, then $f(11)=$

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

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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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• If $\underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1+\frac{a}{x}+\frac{b}{{{x}^{2}}} \right)}^{2x}}={{e}^{2}},$ then the values of a and b are

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• $\underset{x\to 0}{\mathop{\lim }}\,{{\left( \frac{1+5{{x}^{2}}}{1+3{{x}^{2}}} \right)}^{1/{{x}^{2}}}}=$

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