fun-lim

Related Questions

• The value of $\underset{x\to \infty }{\mathop{\lim }}\,\sqrt{{{a}^{2}}{{x}^{2}}+ax+1}-\sqrt{{{a}^{2}}{{x}^{2}}+1}$ is

  ---

• The value of $\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log x}{{{x}^{n}}},\ n>0$ is

  ---

• The range of $f(x)=\cos x-\sin x$ is

  ---

• If $f(x) = \begin{cases} \frac{{\sin [x]}}{{[x]}},{\rm{ when }}[x] \ne 0\\ \,\,\,\,\,\,\,\,\,0,{\rm{ when }}[x] = 0 \end{cases}$ where $[x]$ is greatest integer function, then $\underset{x\to 0}{\mathop{\lim }}\,f(x)=$

  ---

• $f(x,\ y)=\frac{1}{x+y}$ is a homogeneous function of degree

  ---