fun-lim

Related Questions

• $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin x}{x}$ is equal to

  ---

• $\underset{x\to 0}{\mathop{\lim }}\,{{\left\{ \tan \left( \frac{\pi }{4}+x \right) \right\}}^{1/x}}=$

  ---

• $\underset{x\to 0}{\mathop{\lim }}\,\,\,\cos \frac{1}{x}$

  ---

• 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

  ---

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

  ---