Let (an) be a bounded (not necessarily convergent) sequence, and assume

lim bn = 0. Show that lim(an*bn) = 0. Why are we not allowed to use the Algebraic Limit Theorem to prove this.

Printable View

- October 22nd 2008, 05:56 PMajj86Real Analysis - Limits and Order #2
Let (an) be a bounded (not necessarily convergent) sequence, and assume

lim bn = 0. Show that lim(an*bn) = 0. Why are we not allowed to use the Algebraic Limit Theorem to prove this. - October 22nd 2008, 10:42 PMMoo
- October 23rd 2008, 05:24 PMajj86Thanks Moo.
I appreciate your answer to my question. I've been having a lot of trouble understanding real analysis. This class reminds me a lot of abstract algebra. I guess proofs just aren't my forte.