- #1
gottfried
- 119
- 0
Ʃ([itex]\frac{1}{n}[/itex]) diverges but Ʃ([itex]\frac{1}{n^2}[/itex]) converges but both corresponding sequences converge (I think). So at what rate does a sequence have to converge for the corresponding series to converge.
Or asked differently what is the largest value x can be for Ʃ([itex]\frac{1}{n^x}[/itex]) to diverge
Or asked differently what is the largest value x can be for Ʃ([itex]\frac{1}{n^x}[/itex]) to diverge