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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If lim⁡x→∞[x3+1x2+1−(ax+b)]=2\lim\limits_{x \to \infty } \left[ {\frac{{{x^3} + 1}}{{{x^2} + 1}} - \left( {ax + b} \right)} \right] = 2, then
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Correct option: C
a=1a = 1 and b=−2b = - 2
Option C (a=1a = 1 and b=−2b = - 2) is correct because these values ensure that the limit exists and equals 2 when x approaches infinity.

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