Recent content by dimanet

Aha, now I understand the logic behind a given condition. Thank you!

No. This sequence doesn't have a limit point but infinity. Right? But anyway I still don't understand. Let me to think some time. :-) Thanks.

Hello! Please help me to solve following exercise (2.5.8) from Elementary Real Analysis by Thomson-Bruckner: Suppose that a sequence \{s_n\} of positive numbers satisfies the condition s_{n+1} > \alpha s_n for all ##n## where ##\alpha>1.## Show that ##s_n \to \infty.## I can't prove...