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

Multiple Choice

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

A) divergent
B) $\frac { 2 } { \ln 2 }$
C) 2 ln 2
D) ln 2
E) $\frac { \ln 2 } { 2 }$