$\mathop {\lim }\limits_{x \to 0} \frac{{1 - \cos 2x}}{x} = $

$\mathop {\lim }\limits_{x \to 0} \frac{(1 - \cos 2x)\sin 5x}{x^2 \sin 3x}$ का मान है

$\lim _{x \rightarrow 0} \left( \frac{\sin (\pi \cos ^2 x)}{x^2} \right) = $

$\mathop {\lim }\limits_{\theta \to 0} \left( \frac{\sin(\theta/4)}{\theta} \right)$ का मान है

$\mathop {\lim }\limits_{x \to 0} \frac{{\sin ax}}{{\sin bx}} = $

$\lim _{t}$ ${\rightarrow 0}\left(1^{\frac{1}{\sin ^2 t}}+2^{\frac{1}{\sin ^2 t}}+\ldots +n^{\frac{1}{\sin ^2 t}}\right)^{\sin ^2 t}$ का मान $.......$ है।