Question

Does the series from 5 to infinity of ((ln(n))^100)/n^(3/2) converge?

Answer 1

just from looking at it i don't think so because as n increases the top becomes larger than the bottom at a very fast rate so it would go to infinity

Answer 2

to find out , you have to either take points starting from 5 or find the limit

Answer 3

If the limit as k --> infinity of the series is not equal to 0 then it diverges.