fun-lim

Related Questions

• If the domain of function $f(x)={{x}^{2}}-6x+7$ is $(-\infty ,\ \infty )$, then the range of function is

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• If $f(x)=ax+b$ and $g(x)=cx+d$, then $f(g(x))=g(f(x))$ is equivalent to

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• If $f(x)\,={{\cot }^{-1}}\left( \frac{3x-{{x}^{3}}}{1-3{{x}^{2}}} \right)$ and $g(x)={{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)$ , then $\underset{x\to a}{\mathop{\lim }}\,\frac{f(x)-f(a)}{g(x)\,-g(a)},$ $0<\,a < \frac{1}{2}$ is

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• $\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{x}{{{\tan }^{-1}}2x} \right]=$

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• The value of b and c for which the identity $f(x+1)-f(x)=8x+3$ is satisfied, where $f(x)=b{{x}^{2}}+cx+d$, are

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