JEE Main 202621 Jan, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002Let f:R→(0,∞)f:\mathbb{R}\to(0,\infty)f:R→(0,∞) be a twice differentiable function such that f(3)=18f(3)=18f(3)=18, f′(3)=0f'(3)=0f′(3)=0 and f′′(3)=4f''(3)=4f′′(3)=4. Then limx→1(loge(f(2+x)f(3))18(x−1)2)\lim_{x\to1}\left(\log_e\left(\frac{f(2+x)}{f(3)}\right)^{\frac{18}{(x-1)^2}}\right)limx→1(loge(f(3)f(2+x))(x−1)218) is equal to :AOption A. 2BOption B. 9COption C. 18DOption D. 1CheckSkip · show solution