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MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

If lim⁡x→∞(x2+x+1x+1−ax−b)=4\lim_{x\to\infty}\left(\dfrac{x^2+x+1}{x+1}-ax-b\right)=4, then (1) a=1, b=4a=1,\ b=4 (2) a=1, b=−4a=1,\ b=-4 (3) a=2, b=−3a=2,\ b=-3 (4) a=2, b=3a=2,\ b=3

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