Let f(x) be a polynomial satisfying f(0) = 2, f'(0) = 3 and f''(x) = f(x). Then f(4) is equal to

1
\(5 \frac {(e^8 - 1)}{2e^4}\)
2
\(\frac {(5e^8 - 1)}{2e^4}\)
3
\(\frac {2e^4}{5e^8 - 1}\)
4
\(\frac {2e^4}{5(e^8 + 1)}\)

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