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JEE MATHEMATICS MCQ: LIMITS

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

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