The First Four Nonzero Terms in the Power Series Expansion $f ( x ) = \sin x$

The first four nonzero terms in the power series expansion of the function $f ( x ) = \sin x$ about $x = 0$ are

A) $1 - x + x ^ { 2 } / 2 - x ^ { 3 } / 3$
B) $x - x ^ { 3 } / 6 + x ^ { 5 } / 120 - x ^ { 7 } / 5040$
C) $x + x ^ { 3 } + x ^ { 5 } + x ^ { 7 }$
D) $1 + x ^ { 2 } / 2 + x ^ { 4 } / 4 + x ^ { 6 } / 6$
E) $1 - x ^ { 2 } / 2 + x ^ { 4 } / 24 - x ^ { 6 } / 720$

Correct Answer:

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