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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
If lim⁡x→∞(x2+1x+1−ax−b)=0\lim _{x \rightarrow \infty}\left(\frac{x^2+1}{x+1}-a x-b\right)=0 then (a,b)(a, b) value is
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Correct option: B
(1,−1)(1,-1)
Option B ((1,-1)) is correct because, for the limit to be 0, the coefficients of x2x^2 and xx in the numerator must be zero, leading to a=1a=1 and b=−1b=-1.

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