fun-lim

Related Questions

• If $f(x) =\begin{vmatrix} {\sin x}&{\cos x}&{\tan x}\\ {{x^3}}&{{x^2}}&x\\ {2x}&1&1 \end{vmatrix}$, then $\underset{x\to 0}{\mathop{\lim }}\,\frac{f(x)}{{{x}^{2}}}$ is

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\cos (\sin x)-1}{{{x}^{2}}}=$

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• 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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• $f(x)=x+\sqrt{{{x}^{2}}}$ is a function from R$\to $R , then $f(x)$ is

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• Let $f(x)=\frac{{{x}^{2}}-4}{{{x}^{2}}+4}$ for $|x|\ >2$, then the function $f:(-\infty ,\ -2]\cup [2,\ \infty )\to (-1,\ 1)$ is

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