Determine whether or not the series is convergent or diverge

Determine whether or not the series is convergent or divergent. (indicate what method is used and justify your answer).

Solution

The Given Series is Smaller than 1/sqrt(n^2) = 1/n So if this series is Convergent then then require will be also and Vice versa According to the p series Test For 0< p <=1 It is Divergent So the Given Series is Divergent