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Let f(x) be a polynomial satisfying f(0)...

Let `f(x)` be a polynomial satisfying f(0)=2 , `f'(0)=3` and `f''(x)=f(x)` then f(4) equals

A

`(5(e^(8)+1))/(2e^(4))`

B

`(5(e^(8)-1))/(2e^(4))`

C

`(2e^(4))/(5(e^(8)-1))`

D

`(2e^(4))/(5(e^(8)+1))`

Text Solution

Verified by Experts

The correct Answer is:
B
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