fun-lim

Related Questions

• $\underset{x\to 0}{\mathop{\lim }}\,\frac{{{e}^{{{x}^{2}}}}-\cos x}{{{x}^{2}}}=$

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• The range of $f(x)=\cos (x/3)$ is

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• $\underset{\alpha \to \pi /4}{\mathop{\lim }}\,\frac{\sin \alpha -\cos \alpha }{\alpha -\frac{\pi }{4}}=$

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{|x|}{x}=$

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• If $f(x) = \begin{cases} \sin x,x \ne n\pi ,n \in Z\\ \,\,\,\,\,\,0,\,\,{\rm{otherwise}} \end{cases}$ and $g(x) = \begin{cases} {x^2} + 1,x \ne 0,\,2\\ \,\,\,\,\,\,\,\,4,x = 0\\ \,\,\,\,\,\,\,\,\,5,x = 2 \end{cases}$ then $\underset{x\to 0}{\mathop{\lim }}\,g\{f(x)\}=$

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