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Moderate

A Power Series Expansion

APCALC-CW8XV3

Which of the following is a power series expansion for $\cfrac { { x }^{ 2 } }{ 1+{ x }^{ 3 } } $?

A

$1+{ x }^{ 2}+{ x }^{ 4 }+{ x }^{ 6 }+...$

B

${ x }^{ 2}+{ x }^{ 3}+{ x }^{ 4 }+{ x }^{ 5 }+...$

C

${ x }^{ 2 }+{ x }^{ 5 }+{ x }^{ 8 }+{ x }^{ 11 }+...$

D

${ x }^{ 2 }-{ x }^{ 5 }+{ x }^{ 8 }-{ x }^{ 11}+...$