- #1
iatnogpitw
- 9
- 0
Homework Statement
[tex]\sum{(ln(k))/(\sqrt{k+2})}[/tex], with k starting at 1 and going to [tex]\infty[/tex]
Homework Equations
Does this series converge or diverge? Be sure to explain what tests were used and why they are applicable.
The Attempt at a Solution
Okay, my TA got that this diverges, but I got that it converges by simply taking the limit as k goes to [tex]\infty[/tex] and applying L'Hopital's rule. I also plugged the function into my calculator and it seems to converge at y=0, which is corroborates what I got with L'Hopitals rule. What did you guys get? Any help is greatly appreciated.