If $\lim _\limits{x \rightarrow-a} \frac{x^9+a^9}{x+a}=9$, then $a=$

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim \limits_{{x \rightarrow-a}} \frac{x^9+a^9}{x+a}=9

, then

a=

View answer and explanation

Correct option: A

\pm 1

Option C (1/2) is correct because simplifying the expression using the sum of arithmetic series leads to a limit of 1/2 as n approaches infinity.

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