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Let $f$ be a function defined by $f(x)=e^{2x}$, Find the third-degree Maclaurin polynomial for $f$.

A

$1+2x+4x^{2}+8x^{3}$

B

$1+2x+2x^{2}+\frac{4}{3}x^{3}$

C

$1+\frac{1}{2}x+\frac{1}{2}x^{2}+\frac{3}{4}x^{3}$

D

$2+4x+4x^{2}+\frac{8}{3}x^{3}$

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