# Thread: Bounded sequence whose set of acc points is unbounded.

1. ## Bounded sequence whose set of acc points is unbounded.

Bounded sequence whose set of acc points is unbounded.

Is this possible? give example or argue against it?

2. Originally Posted by really.smarty
Bounded sequence whose set of acc points is unbounded.
Does “set of acc points” mean set of accumulation points?

You know that the interval $[-B,B]$ is totally bounded.
If $B$ is the bound for the sequence, can any accumulation points be outside the interval $[-B,B]?$

3. yes sorry, acc points means accumulation points.

if it is a closed set, wouldn't the accumulation points HAVE to be in [-B,B]?