AP

MATHEMATICS · Multi-part · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Let

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

. (a) Write the first four non-zero terms of the Maclaurin series for

g

. (b) Provide a general formula for the

n

th non-zero term of the series. (c) Determine the interval of convergence of the series and justify your result.