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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If lim⁡x→∞{x2+1x+1−ax−b}=2\lim \limits_{{x \rightarrow \infty}}\left\{\frac{x^2+1}{x+1}-a x-b\right\}=2, then
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Correct option: D
a=1,b=−3a=1, b=-3
Option D (a=1,b=−3a=1, b=-3) is correct because for the limit to be 2, the coefficients of x2x^2 must be 0 and the ratio of the coefficients of xx must be 2.

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