fun-lim

Related Questions

• If $f(x)=\sqrt{\frac{x-\sin x}{x+{{\cos }^{2}}x}}$ , then $\underset{x\to \infty }{\mathop{\lim }}\,f(x)$ is

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• If $f(x)=\frac{x}{x-1}$, then $\frac{f(a)}{f(a+1)}=$

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• If $f(x)\,={{\cot }^{-1}}\left( \frac{3x-{{x}^{3}}}{1-3{{x}^{2}}} \right)$ and $g(x)={{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)$ , then $\underset{x\to a}{\mathop{\lim }}\,\frac{f(x)-f(a)}{g(x)\,-g(a)},$ $0<\,a < \frac{1}{2}$ is

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• For $\theta >\frac{\pi }{3}$, the value of $f(\theta )={{\sec }^{2}}\theta +{{\cos }^{2}}\theta $ always lies in the interval

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• Range of the function $f(x)={{\sin }^{2}}({{x}^{4}})+{{\cos }^{2}}({{x}^{4}})$ is

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