For the series representation of centered at

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

For the series representation of

\frac{1}{1+3x}

centered at

x=0

, which of the following intervals of

x

guarantees that the series converges? (a)

|x|<3

(b)

x>-\dfrac13

(c)

|x|<\dfrac13

(d)

|x|<1