- #1
amcavoy
- 665
- 0
I am trying to compute:
[tex]\sum_{k=0}^{n}\arctan{\left(\frac{1}{k^{2}+k+1}\right)}.[/tex]
I have used some trig identities and reduced it, but before I can do anything more I am stuck on:
[tex]\sum_{k=0}^{n}\arctan{\left(k\right)}.[/tex]
Is there a formula for this sum?
Thanks for the help.
[tex]\sum_{k=0}^{n}\arctan{\left(\frac{1}{k^{2}+k+1}\right)}.[/tex]
I have used some trig identities and reduced it, but before I can do anything more I am stuck on:
[tex]\sum_{k=0}^{n}\arctan{\left(k\right)}.[/tex]
Is there a formula for this sum?
Thanks for the help.