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JEE MAIN 2019
08-04-2019 S2
Question
Let $f: R \rightarrow R$ be a differentiable function satifying $f^{\prime}(3)+f^{\prime}(2)=0$. Then $\lim _{x \rightarrow 0}\left(\frac{1+f(3+x)-f(3)}{1+f(2-x)-f(2)}\right)^{\frac{1}{x}}$ is equal to :
Select the correct option:
A
e
B
1
C
$e^2$
D
$e^{-1}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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