fun-lim

Related Questions

• The value of $\underset{x\to 0}{\mathop{\lim }}\,\frac{{{27}^{x}}-{{9}^{x}}-{{3}^{x}}+1}{\sqrt{5}-\sqrt{4+\cos x}}$ is

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• $\underset{x\to 3}{\mathop{\lim }}\,\,[x]=$ , (where [.] = greatest integer function)

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• The value of $\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{3x-4}{3x+2} \right)}^{\frac{x+1}{3}}}$ is equal to

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• $\underset{x\to 0}{\mathop{\lim }}\,{{\left\{ \tan \left( \frac{\pi }{4}+x \right) \right\}}^{1/x}}=$

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• If $f(x) = \begin{cases} x,\text{when x is rational} \\ 0, \text{when x is irrational} \end{cases}$ and $g(x) = \begin{cases} 0,\text{when x is rational} \\ x, \text{when x is irrational} \end{cases}$ then $(f-g)$ is

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