Let \( f(x) \) be a polynomial satisfying \( f(0)=2, f^{\prime}(0) \)
\( =3 \) and \( f^{\prime ....
Let \( f(x) \) be a polynomial satisfying \( f(0)=2, f^{\prime}(0) \)
\( \mathrm{P} \)
\( =3 \) and \( f^{\prime \prime}(x)=f(x) \). then, \( f(4)= \)
W
(1) \( \frac{5\left(e^{8}+1\right)}{2 e^{4}} \)
(2) \( \frac{5 e^{8}-1}{2 e^{4}} \)
(3) \( \frac{2 e^{4}}{5\left(e^{8}-1\right)} \)
(4) \( \frac{2 e^{4}}{5\left(e^{8}+1\right)} \)
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