Chapter 11.3, Problem 1PT

For what values of p does the series ${\displaystyle \underset{n=1}{\overset{\infty }{\sum }}\frac{1}{{\left(n^2\right)}^p}}$ converge?

1. a) $p>-\frac{1}{2}$
2. b) $p<-\frac{1}{2}$
3. c) $p>\frac{1}{2}$
4. d) $p<\frac{1}{2}$