Suppose {\f}: {\R} \to(0, \infty) be a differentiable function such that 5 {\f}( {\x}+ {\y})= {\f}( {\x}) \cdot {\f}( {\y}), \forall {\x}, {\y} \in {\R}. If f(3)=320, then \sum_{n=0}^{5} f(n) is equal to: [30-Jan-2023 Shift 1]

JEE Mains 30-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 66 of 90

Marks: +1, -0

Suppose f:R→(0,∞) be a differentiable function such that 5f(x+y)=f(x)⋅f(y),∀x,y∈R. If f(3)=320, then

∑

n=0

f(n) is equal to:

[30-Jan-2023 Shift 1]

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