fun-lim

Related Questions

• The value of $\underset{x\to 0}{\mathop{\lim }}\,\frac{x\cos x-\log (1+x)}{{{x}^{2}}}$ is

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• Let the function f be defined by $f(x)=\frac{2x+1}{1-3x}$, then ${{f}^{-1}}(x)$ is

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• Let X and Y be subsets of R, the set of all real numbers. The function $f:X\to Y$defined by $f(x)={{x}^{2}}$ for $x\in X$ is one-one but not onto if (Here ${{R}^{+}}$ is the set of all positive real numbers)

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• The value of the constant $\alpha $ and $\beta $ such that $\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{2}}+1}{x+1}-\alpha x-\beta \right)=0$ are respectively

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• $\underset{y\to 0}{\mathop{\lim }}\,\frac{(x+y)\sec (x+y)-x\sec x}{y}=$

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