fun-lim

Related Questions

• $\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{{{x}^{2}}+{{a}^{2}}}-\sqrt{{{x}^{2}}+{{b}^{2}}}}{\sqrt{{{x}^{2}}+{{c}^{2}}}-\sqrt{{{x}^{2}}+{{d}^{2}}}}=$

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• The function $f(x)=\frac{{{\sec }^{-1}}x}{\sqrt{x-[x]}},$ where [.] denotes the greatest integer less than or equal to x is defined for all x belonging to

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• $\underset{x\to \pi /2}{\mathop{\lim }}\,\left[ x\tan x-\left( \frac{\pi }{2} \right)\sec x \right]=$

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• $y$ exists, if

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{{{(1+x)}^{1/2}}-{{(1-x)}^{1/2}}}{x}=$

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