Let . Which of the following gives the interval of convergence of…

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

Problem

Let

S(x)=\displaystyle \sum_{n=1}^{\infty} \dfrac{(-1)^{n}x^{\!n}}{\sqrt{n}}

. Which of the following gives the interval of convergence of

S(x)

? (a)

(-1,\,1)

(b)

[-1,\,1)

(c)

(-1,\,1]

(d)

[-1,\,1]