fun-lim

Related Questions

• 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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• The domain of ${{\sin }^{-1}}({{\log }_{3}}x)$ is

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• A real valued function $f(x)$ satisfies the function equation $f(x-y)=f(x)f(y)-f(a-x)f(a+y)$ where a is a given constant and $f(0)=1$, $f(2a-x)$ is equal to

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• 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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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin x-x}{{{x}^{3}}}=$

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