Column-I
Column-II
\( \mathrm{P} \)
(A) \( \lim _{x \rightarrow 1} ...
Column-I
Column-II
\( \mathrm{P} \)
(A) \( \lim _{x \rightarrow 1} \frac{x^{3}-1}{\ell n x} \) is
(P) 2
W
(B) \( \lim _{x \rightarrow 0} \frac{x(\cos x-\cos 2 x)}{2 \sin x-\sin 2 x} \) is
(Q) 3
(C) \( \lim _{x \rightarrow 0} \frac{\tan x \sqrt{\tan x}-\sin x \sqrt{\sin x}}{x^{3} \cdot \sqrt{x}} \) is
(R) \( \frac{3}{2} \)
(D) If \( f(\mathrm{x})=\cos \left(\mathrm{x} \cos \frac{1}{\mathrm{x}}\right) \) and \( \mathrm{g}(\mathrm{x})=\frac{\ln \left(\sec ^{2} \mathrm{x}\right)}{\mathrm{x} \sin \mathrm{x}} \) are
(S) \( \frac{3}{4} \) both continuous at \( \mathrm{x}=0 \) then \( f(0)+\mathrm{g}(0) \) equals
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