For the Series $\sum _ { n - 2 } ^ { \infty } \frac { n ^ { 1 / 2 } } { \ln n }$

Essay

For the series $\sum _ { n - 2 } ^ { \infty } \frac { n ^ { 1 / 2 } } { \ln n }$ , tell whether or not it converges, and indicate what test you used. If the test involves a limit, give the limit. If the test involves a comparison, give the comparison.