## Thomas' Calculus 13th Edition

In order to solve this problem we will take the help of the Integral Test. Then we have $\int_{1}{n} \dfrac{5}{x+1}dx=5 (\ln (n+1))-5 (\ln 2)$ and $\int_{1}({\infty}) (\dfrac{5}{x+1})dx=\infty$ Thus, the series is divergent.