Problem

Problem

The value of lim⁡x→∞(x+2)tan⁡−1(x+2)−(xtan⁡−1x)\lim_{x \to \infty} (x+2) \tan^{-1}(x+2) - (x \tan^{-1} x) is a. π2\frac{\pi}{2} b. Doesn't exist c. π4\frac{\pi}{4} d. None of these

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