fun-lim

Related Questions

• Let the function f be defined by the equation $f(x) = \begin{cases} 3x\;\;\;\;\;\;{\rm{if}}\;0 \le x \le 1\\ 5 - 3x\;\;{\rm{if}}\;{\rm{1}} < x \le 2 \end{cases}$, then

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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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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin x+\log (1-x)}{{{x}^{2}}}$ is equal to

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• If $\underset{x\to 0}{\mathop{\lim }}\,\frac{[(a-n)\,nx-\tan x]\sin nx}{{{x}^{2}}}=0,$ where n is non zero real number, then a is equal to

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

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