JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow \infty}}\left\{\frac{x^2+1}{x+1}-(a x+b)\right\} \rightarrow \infty

, then

View answer and explanation

Correct option: C

a \in(-\infty, 1)

Option C (

a \in(-\infty, 1)

) is correct because for the limit to be infinite, the degree of numerator must be greater than the degree of the denominator, implying

1-a > 0

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