fun-lim

Related Questions

• $\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{2}+\frac{1}{{{2}^{2}}}+\frac{1}{{{2}^{3}}}+...+\frac{1}{{{2}^{n}}}$ equals

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• $\underset{x\to \pi /6}{\mathop{\lim }}\,\frac{{{\cot }^{2}}\theta -3}{\text{cosec}\theta -2}=$

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• If $f(x) = \begin{cases} \,\,\,\,\,\,\,x,\;{\rm{when }}0 \le x \le 1\\ 2 - x,\;{\rm{when }}1 < x \le 2 \end{cases}$, then $\underset{x\to 1}{\mathop{\lim }}\,f(x)=$

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• Let $g(x)=1+x-[x]$ and $f(x) = \begin{cases} - 1,\,\,\,If\,\,x 0 \end{cases}$ then for all values of x the value of $fog(x)$

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• Let $f:(2,\,3)\to (0,\,1)$ be defined by $f(x)=x-[x]$ then ${{f}^{-1}}(x)$ equals

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