You will need to use the Ratio Test.

Remembering that the Ratio Test tells us that the series is convergent where , divergent where and inconclusive where , no, you can not use the endpoints in your interval. However, there are other tests you can do for the endpoints.

Anyway, you have .

This will be convergent where

.

So the series is convergent where and divergent where and . You will need to use a different test for the endpoints of the interval.