Problem

Problem

Match the statements of Column I with values of Column II.
Column IColumn II
(A) lim⁡x→π+2tan⁡−1(tan⁡x)\lim_{x \to \frac{\pi^+}{2}} \tan^{-1}(\tan x)(p) 0
(B) lim⁡n→∞[∑r=1n12r]\lim_{n \to \infty} \left[ \sum_{r=1}^{n} \frac{1}{2^r} \right] ([·] denotes the greatest integer function)(q) Doesn't exist
(C) lim⁡x→∞sec⁡−1(xx+1)\lim_{x \to \infty} \sec^{-1} \left( \frac{x}{x+1} \right)(r) −π2-\frac{\pi}{2}
(D) lim⁡x→π2−cos⁡x(1−sin⁡x)2/3\lim_{x \to \frac{\pi}{2}^-} \frac{\cos x}{(1 - \sin x)^{2/3}}(s) π2\frac{\pi}{2}

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