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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
The values of constants a and bb so that lim⁡x→∞(x2+1x+1−ax−b)=12\lim \limits_{{x \rightarrow \infty}}\left(\frac{x^2+1}{x+1}-a x-b\right)=\frac{1}{2}, are
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Correct option: A
a=1,b=−32a=1, b=-\frac{3}{2}
Option A (a=1,b=−32a=1, b=-\frac{3}{2}) is correct because these values satisfy the given limit condition after simplifying the expression.

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