List of top Mathematics Questions on limits of trigonometric functions asked in KEAM

The value of $\lim_{x \to 0} \dfrac{\sqrt{1 - \cos(x^2)}}{1 - \cos x}$ is equal to:
The value of $\lim_{x \to 0} \dfrac{\sin^2 x}{1 - \cos x}$ is equal to:
$\displaystyle\lim_{x \to 0}\frac{1 - \cos 4x}{\tan^2 2x}$ is equal to
\( \lim_{x \to 0} \frac{1 - \cos(mx)}{1 - \cos(nx)} \) is
\( \lim_{x \to 0} \frac{1 - \cos(mx)}{1 - \cos(nx)} \) is
\( \lim_{x \to 0} \frac{1 - \cos(mx)}{1 - \cos(nx)} \) is
\( \lim_{x \to 0} \frac{1 - \cos(mx)}{1 - \cos(nx)} \) is
The value of $\lim_{x \to 0} \frac{\cot 4x}{\csc 3x}$ is equal to: