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limx→∞x[tan−1(x+1x+2)−tan−1(xx+2)]= ?\large \lim_{x\rightarrow \infty}x \left[ \tan^{-1} \left ( \frac{x+1}{x+2} \right )-\tan^{-1}\left ( \frac{x}{x+2} \right) \right] = \, ? x→∞limx[tan−1(x+2x+1)−tan−1(x+2x)]=?
Enter your answer as 999 if you think the limit does not exist (or it diverges).
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