$\mathop {\lim }\limits_{x \to \pi /2} \frac{2x - \pi}{\cos x} = $

$\lim _{x \rightarrow 2}(x-1)^{\frac{1}{3x-6}} = $

$\mathop {\lim }\limits_{\theta \to \pi /2} (\sec \theta - \tan \theta ) = $

$\mathop {\lim }\limits_{x \to \pi /6} \left[ {\frac{{3\sin x - \sqrt 3 \cos x}}{{6x - \pi }}} \right] = $

ધારો કે $f: R \rightarrow R$ એક સતત વિધેય છે. તો $\lim _{x \rightarrow \frac{\pi}{4}} \frac{\frac{\pi}{4} \int_{2}^{\sec ^{2} x} f(t) dt}{x^{2}-\frac{\pi^{2}}{16}}$ ની કિંમત શોધો:

$\mathop {\lim }\limits_{x \to 0} \frac{{\cos ax - \cos bx}}{{{x^2}}} = $