JEE Math Practice Question
Suppose $$f: \mathbb{R} \rightarrow(0, \infty)$$ be a differentiable function such that $$5 f(x+y)=f(x) \cdot f(y), \forall x, y \in \mathbb{R}$$. If $$f(3)=320$$, then $$\sum\limits_{n=0}^{5} f(n)$$ is equal to :
- A.6875
- B.6525
- C.6575
- D.6825
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