the value of $\underset { x\rightarrow 0 }{ lim } \frac { sin\alpha X-sin\beta X }{ { e }^{ \alpha X }-{ e }^{ \beta X } }$ equals

$\lim _{x \rightarrow 2} \frac{x^{2}-5 x+6}{x^{2}+2 x-8}$ এর মান নির্ণয় কর।

$\displaystyle \lim_{x\rightarrow 0^{+}}{(\cosec x)^{1/\log x}}$=?

If $f '$ (0) = 0 and f(x) is a differentiable and increasing function,then lim $x \rightarrow 0$  $\frac {x.f ' (x^2)}{f ' (x)}$

$\frac{d}{d x}\left(9^{x}\right)=$ কত?