JEE Math Practice Question
Let $f(x)$ be a real differentiable function such that $f(0)=1$ and $f(x+y)=f(x) f^{\prime}(y)+f^{\prime}(x) f(y)$ for all $x, y \in \mathbf{R}$. Then $\sum\limits_{n=1}^{100} \log _e f(n)$ is equal to :
- A.2406
- B.5220
- C.2525
- D.2384
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