Evaluate the Improper Integral Whenever It Is Convergent $\int _ { 2 } ^ { \infty } \frac { d x } { x ( \ln x ) ^ { 2 } }$

Multiple Choice

Evaluate the improper integral whenever it is convergent. If it is divergent, state this.
- $\int _ { 2 } ^ { \infty } \frac { d x } { x ( \ln x ) ^ { 2 } }$

A) 2 ln 2
B) divergent
C) $\frac { 1 } { \ln 2 }$
D) $\frac { 1 } { 2 }$ $( \ln 2 ) ^ { 2 }$