fun-lim

Related Questions

• $\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{{{e}^{x}}-{{e}^{\sin x}}}{x-\sin x} \right]$ is equal to

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• $\underset{x\to \infty }{\mathop{\lim }}\,\frac{{{(2x+1)}^{40}}{{(4x-1)}^{5}}}{{{(2x+3)}^{45}}}=$

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• $\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log {{x}^{n}}-[x]}{[x]},\,n\in N,\,$ $\,(\,[x]$ denotes greatest integer less than or equal to x)

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• If $g:[-2,\,2]\to R$where $g(x)=$ ${{x}^{3}}+\tan x+\left[ \frac{{{x}^{2}}+1}{P} \right]$is a odd function then the value of parametric P is

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• Range of the function $f(x)=\frac{{{x}^{2}}+x+2}{{{x}^{2}}+x+1};\ x\in R$ is

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