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JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1
If lim⁡x→−12f(x)−22x2−1=3π\lim \limits_{x \rightarrow \frac{-1}{\sqrt{2}}} \frac{f(x)-2}{2 x^2-1}=3 \pi, then lim⁡x→−12ef(x)\lim \limits_{x \rightarrow \frac{-1}{\sqrt{2}}} e^{f(x)} will be
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Correct option: D
None of these
Option D (None of these) is correct because the limit of f(x) as x approaches -1/sqrt(2) is 2, so the limit of e^(f(x)) is e2.

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