Use the Derivative of the Taylor Series About 0 For \frac{1}{1-x}

Multiple Choice

Use the derivative of the Taylor series about 0 for $\frac{1}{1-x}$ to find the Taylor series about 0 for $\frac{4 x}{(1-x) ^{2}}$ .

A) $4+4 x^{3}+4 x^{5}+4 x^{7}+\cdots$
B) $4+4 x^{2}+4 x^{3}+4 x^{4}+\cdots$
C) $4 x+8 x^{2}+12 x^{3}+16 x^{4}+\cdots$
D) $4+8 x+12 x^{2}+16 x^{3}+\cdots$