If f (x)=(4+x )^(n), n in N and f'(0) re...

If `f (x)=(4+x )^(n), n in N and f'(0)` represents then `r^(th)` derivative of `f (x) at x=0,` then the value of `sum_(r=0)^(oo) (f '(0))/(r !)` is equal to :

`2 ^(n)`

`3 ^(n)`

`5 ^(n)`

`4 ^(n)`

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