Let . Determine the coefficient of in the power series for…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Let

f(x)=\displaystyle \sum_{n=0}^{\infty} \frac{(-1)^{n}}{n+1}\,(x-2)^{n+2}

. Determine the coefficient of

(x-2)^4

in the power series for

f'(x)