# Math Help - Infinite series

1. ## Infinite series

Hi, i am trying to find the sum as k=1 and goes to infinity of 1/((k+2)(k+3)). Im really stuck on this, the book splits it up into 1/(k+2)-1/(k+3) but im not sure what to do from there. Can someone please help me out with this one?
Thank You!

2. ## How about

Originally Posted by cowboys111
Hi, i am trying to find the sum as k=1 and goes to infinity of 1/((k+2)(k+3)). Im really stuck on this, the book splits it up into 1/(k+2)-1/(k+3) but im not sure what to do from there. Can someone please help me out with this one?
Thank You!
Using the telescoping series...or using Maclaurin's integral test to see that it diverges