Use Theorem 9.11 to determine the convergence or divergence of the p-series.

Question

1+ 1/6root2 + 1/6root3 + 1/6root4 +...

p=

Answer 1

so some old retired teacher is supposed to know what your theorem 9.11 is?
p series is sum 1 to oo of 1/n^p
if p >1 , converges
if p </= 1 , diverges
here
(1/6) sum 1 to oo of 1/n^.5
p < 1
diverges

Answer 2

Sorry, the Theorem 9.11 is never shown in the work I was given nor explained.