Problem

Match the column.

Column I	Column II
(A) $\lim_{x \to 0} \frac{1 - \cos 2x}{e^{x^2} - e^x + x}$ equals	(p) 1
(B) If the value of $\lim_{x \to 0^+} \left( \frac{(3/x) + 1}{(3/x) - 1} \right)^{1/x}$ can be expressed in the form of $e^{p/q}$ , where $p$ and $q$ are relative prime, then $(p + q)$ is equal to	(q) 2
(C) $\lim_{x \to 0} \frac{\tan^3 x - \tan x^3}{x^5}$ equals	(r) 4
(D) $\lim_{x \to 0} \frac{x + 2 \sin x}{\sqrt{x^2 + 2 \sin x + 1} - \sqrt{\sin^2 x - x + 1}}$ equals	(s) 5