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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If a>0a > 0 and lim⁡x→∞{x2+x+1−(ax+b)}=0\lim \limits_{{x \rightarrow \infty}}\left\{\sqrt{x^2+x+1}-(a x+b)\right\}=0, then (a,b)(a, b) lies on the line
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Correct option: B
3x+4y−5=03 x+4 y-5=0
Option A (l=m) is correct because both limits, as x approaches infinity and negative infinity, evaluate to 1/2.

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