fun-lim

Related Questions

• If $f(x)=\frac{2}{x-3},\ g(x)=\frac{x-3}{x+4}$ and $h(x)=-\frac{2(2x+1)}{{{x}^{2}}+x-12},$ then $\underset{x\to 3}{\mathop{\lim }}\,[f(x)+g(x)+h(x)]$ is

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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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• The composite mapping $fog$of the map $f:R\to R$, $f(x)=\sin x$, $g:R\to R$, $g(x)={{x}^{2}}$is

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• If $f(9)=9$ , $f'(9)=4$ , then $\underset{x\to 9}{\mathop{\lim }}\,\frac{\sqrt{f(x)}-3}{\sqrt{x}-3}=$

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• If $\underset{x\to 0}{\mathop{\lim }}\,\frac{\log (3+x)\,-\log (3-x)}{x}=k,\,$ then the value of k is

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