JEE Main 20198 Apr, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002Let ƒ : R →\to→ R be a differentiable function satisfying ƒ'(3) + ƒ'(2) = 0. Then limx→0(1+f(3+x)−f(3)1+f(2−x)−f(2))1x\mathop {\lim }\limits_{x \to 0} {\left( {{{1 + f(3 + x) - f(3)} \over {1 + f(2 - x) - f(2)}}} \right)^{{1 \over x}}}x→0lim(1+f(2−x)−f(2)1+f(3+x)−f(3))x1 is equal toAOption A. eBOption B. e²COption C. e^–1DOption D. 1CheckSkip · show solution
