fun-lim

Related Questions

• $\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{\sin (x+a)+\sin (a-x)-2\sin a}{x\sin x} \right]=$

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• Domain of definition of the function $f(x)=\frac{3}{4-{{x}^{2}}}+{{\log }_{10}}({{x}^{3}}-x)$, is

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• The inverse of the function $f(x)=\frac{{{e}^{x}}-{{e}^{-x}}}{{{e}^{x}}+{{e}^{-x}}}+2$ is given by

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• The domain of the function $f(x)=\sqrt{\log \frac{1}{|\sin x|}}$ is

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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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