What Is the Value of P That Marks the Boundary $\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { y } }$

Multiple Choice

What is the value of p that marks the boundary between convergence and divergence of the series $\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { y } }$ ?

A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 3 }$
C) Diverges for all p
D) ln 2
E) 1
F) ln 3
G) Converges for all p
H) $\frac { 1 } { e }$