Let f: R → (0, ∞) be a twice differentiable function such that f(… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 21 January, Shift 1Limits

Let $f: R \to (0, \infty)$ be a twice differentiable function such that $f(3) = 18$ , $f'(3)=0$ and $f''(3) = 4$ . Then $\lim_{x \to 1} \log_e \left[ \frac{f(2+x)}{f(3)} \right]^{\frac{18}{(x-1)^2}}$ is equal to:

A
$2$
B
$1$
C
$18$
D
$9$

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