fun-lim

Related Questions

• The function $f:R\to R$ is defined by $f(x)={{\cos }^{2}}x+{{\sin }^{4}}x$ for $x\in R$, then $f(R)=$

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• $\underset{x\to 0}{\mathop{\lim }}\,\frac{3\sin x-\sin 3x}{{{x}^{3}}}=$

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• $\underset{x\to \infty }{\mathop{\lim }}\,(\sqrt{{{x}^{2}}+8x+3}-\sqrt{{{x}^{2}}+4x+3})=$

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• $\underset{x\to a}{\mathop{\lim }}\,\frac{\sqrt{a+2x}-\sqrt{3x}}{\sqrt{3a+x}-2\sqrt{x}}=$

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

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