Recent content by hages

Thank you all. As you can see from my original post, I hadn't thought of actually constructing a subsequence with the desired property. I appreciate the help.

Homework Statement Notation: |a_n| is the absolute value of a_n. (s_n) signifies a sequences; s_n signifies the value of the sequence at a particular n. Problem: Let n, k be arbitrary elements in N. Let (a_n) be a sequence such that lim inf |a_n| = 0. Prove that there is a...