JEE Main & Advanced
Mathematics
Differentiation
Question Bank
Numerical Value Type Questions - Limits and Derivatives
question_answer
Let \[f:\,\,R\to R\] be a differentiable function satisfying \[f'(3)+f'(2)=0.\] Then \[\underset{x\to 0}{\mathop{\lim }}\,\,\,{{\left( \frac{1+f(3+x)-f(3)}{1+f(2-x)-f(2)} \right)}^{\frac{1}{x}}}\] is