$\mathrm{\lim\limits_{x\rightarrow0}\ \left(1+5x\right)^\frac{3x+2}{x}=\ ? }$

Evaluate the following limits.

$\displaystyle\lim_{x\rightarrow 0}\dfrac{\sqrt{2-x}-\sqrt{2+x}}{x}$.

  $\lim_{x \rightarrow 1} \left ( \frac{x}{x - 1} - \frac{1}{\log{x}} \right )$ এর মান কত ?  

If the function $f(x) = (1 - x)\tan \dfrac{{\pi x}}{2}$ is continuous at $x = 1$ ,then $f(1)=$

$\displaystyle \lim _{x \rightarrow 0} \dfrac{x \tan 2 x-2 x \tan x}{(1-\cos 2 x)^{2}}$ is equal to