Derive a closed-form expression for the coefficient of (for ) in the Maclaurin series of .

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

Problem

Derive a closed-form expression for the coefficient

c_{n}

x^{n}

(for

n\ge 1

) in the Maclaurin series of

(1-x)^{-2}\ln(1-x)