Homework Help: Another convergence proof

1. Sep 20, 2011

applied

Hi,

Here's another question from my analsysi HW. I get that the two sequences are equal but I'm not sure how to write it out. Any help would be great.
Thanks.

1. The problem statement, all variables and given/known data

Prove that a sequence ${a_n}$ converges to 0 iff the sequence ${\lvert a_n\rvert}$ converges to 0.

2. Relevant equations

3. The attempt at a solution

2. Sep 20, 2011

estro

If $a_n \rightarrow 0$ you know that after some n $|a_n|\leq \epsilon/2$

So what can you tell?

Please show your attempt. [This is as close to trivial as it can be]

Last edited: Sep 20, 2011