fun-lim

Related Questions

• Let $g(x)=1+x-[x]$ and $f(x) = \begin{cases} - 1,\;x {\rm{0}} \end{cases}$ then for all $x,\ f(g(x))$ is equal to

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin mx}{\tan nx}=$

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

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• If $\underset{n\to \infty }{\mathop{\lim }}\,\frac{1-{{(10)}^{n}}}{1+{{(10)}^{n+1}}}=\frac{-\alpha }{10}$ , then give the value of $\alpha $ is

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• The range of $f(x)=\sec \left( \frac{\pi }{4}{{\cos }^{2}}x \right)\,,\ -\infty < x < \infty $ is

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