The First Four Terms in the Power Series Expansion of the Function

Multiple Choice

The first four terms in the power series expansion of the function $f ( x ) = e ^ { 2 x }$ about $x = 0$ are

A) $1 + x + x ^ { 2 } + x ^ { 3 }$
B) $1 + 2 x + 2 x ^ { 2 } + 2 x ^ { 3 }$
C) $1 + 2 x + 2 x ^ { 2 } + 4 x ^ { 3 } / 3$
D) $1 + 2 x + 2 x ^ { 2 } + 2 x ^ { 3 } / 3$
E) $1 + 2 x + 4 x ^ { 2 } + 8 x ^ { 3 }$