The Series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { \alpha } }$

Multiple Choice

The series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { \alpha } }$ converges if and only if

A) $\alpha < 1$
B) $- 1 < \alpha < 1$
C) $\alpha \leq 1$
D) $\alpha > 1$ h. $- 1 > \alpha > 1$

E) $\alpha \geq 1$
F) $\alpha < - 1$
G) $\alpha > - 1$