Give an example of bounded sequence that does not converge.

Printable View

- Sep 18th 2009, 08:27 AMtigergirlBounded Sequence
Give an example of bounded sequence that does not converge.

- Sep 18th 2009, 08:30 AMMoo
The most straightforward one :

$\displaystyle (-1)^n$ - Sep 18th 2009, 12:11 PMredsoxfan325
Non-convergent Cauchy sequences will be bounded as well.

- Sep 20th 2009, 06:56 AMputnam120
For this to work you must be working in a non-complete metric space. So this isn't going to happen in $\displaystyle \mathbb{R}^n$

- Sep 20th 2009, 08:50 AMredsoxfan325