$\displaystyle \lim_{x\rightarrow 0}(\frac{\sin x-x}{x})(\sin\frac{1}{x})$ is:

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

$\lim _{x \rightarrow 3} \frac{x^{3}-27}{x^{2}-9}$ এর মান কোনটি?

$\displaystyle\lim_{x\rightarrow 0}\left(\dfrac{1}{\sin^2x}-\dfrac{1}{\sin h^2x}\right)=?$

$\displaystyle \lim_{x \rightarrow 0}\dfrac {1}{x\sqrt {x}}\left(a\ arc\ tan \dfrac {\sqrt {x}}{a}-b\ arc\ \tan \dfrac {\sqrt {x}}{b}\right)$ has the value equal to