Let . For any non-negative integer , derive a formula for expressed in terms of…

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

Problem

Let

h(x)=\displaystyle \sum_{n=0}^{\infty} \frac{3^{n}}{n+2}\,(x+1)^{n}

. For any non-negative integer

k

, derive a formula for

h^{(k)}(-1)

expressed in terms of

k