If lim⁡x→∞4x(π4−tan⁡−1x+1x+2)=y2+4y+5\lim_{x \to \infty} 4x \left( \frac{\pi}{4} - \tan^{-1} \frac{x+1}{x+2} \right) = y^2 + 4y + 5…

Problem

If lim⁡x→∞4x(π4−tan⁡−1x+1x+2)=y2+4y+5\lim_{x \to \infty} 4x \left( \frac{\pi}{4} - \tan^{-1} \frac{x+1}{x+2} \right) = y^2 + 4y + 5 , then yy can be equal to a. 1 b. -1 c. -4 d. -3

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