fun-lim

Related Questions

• If $f(x) = \begin{cases} \frac{{\sin [x]}}{{[x]}},{\rm{ when }}[x] \ne 0\\ \,\,\,\,\,\,\,\,\,0,{\rm{ when }}[x] = 0 \end{cases}$ where $[x]$ is greatest integer function, then $\underset{x\to 0}{\mathop{\lim }}\,f(x)=$

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• If equation of the curve remain unchanged by replacing x and y from –x and –y respectively, then the curve is

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• The domain of the function $f(x)=\sqrt{\log \frac{1}{|\sin x|}}$ is

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\log (a+x)-\log a}{x}+k\underset{x\to e}{\mathop{\lim }}\,\frac{\log x-1}{x-e}=1,$ then

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{{{e}^{\frac{1}{x}}}}{{{e}^{\left( \frac{1}{x}+1 \right)}}}=$

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