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Let f(x) be a function such that f(x+y)=...

Let `f(x)` be a function such that `f(x+y)=f(x)f(y)` for all `x,y in x`.If `f(1)=3` and `sum_(i=1)^(oo)f(x)=sqrt(k)`,then the value of `n` is then the value of `n` is

A

8

B

9

C

6

D

7

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