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Limits Continuity and Differentiability question

2023 · 30 Jan · Shift 1 · Q28

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JEE Main
Mathematics
Limits Continuity and Differentiability
2023 · 30 Jan · Shift 1 · Q28

Limits Continuity and Differentiability question

2023 · 30 Jan · Shift 1 · Q28

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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_{n=0}^{5} f(n)

is equal to :

A
6875
B
6525
C
6575
D
6825

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