The value of is:

MATHEMATICS · Single correct · ISC · Mathematics · Calculus · Calculus

Problem

The value of lim⁡x→∞[(x+2)tan⁡−1(x+2)−xtan⁡−1x]\lim_{x\to\infty}\left[(x+2)\tan^{-1}(x+2)-x\tan^{-1}x\right] is: (1) π2\frac{\pi}{2} (2) Doesn't exist (3) π4\frac{\pi}{4} (4) None of these

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