Postsecondary • 1yr.
why does the sum from 1 to infinity of arctan(14n) converge? How do I prove it
why does the sum from 1 to infinity of arctan(14n) converge? How do I prove it
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
Hi KindRuby6284,
Thanks for using our services!
When n becomes a number between 1 and infinity, it will always give an angle between -pi/2 and pi/2. So, if you add together all this number, you will get a number and not infinity. The sum will converge.
Hope this help!
Lea-Kim