Hello, the problem I have is:

Construct a bounded set of real numbers with exactly three limit points.

I have what I believe to be a solution:

A = {1/x: x E N}U{1 + 1/x: x E N}U{2 + 1/x: x E N} => A is bounded by 3 with limit points 0, 1, 2.

Unfortunately, I don't really understand the concept of a limit point. My text defines a limit point as "a point p is a limit point of the set E if every neighborhood of p contains a point q (not equal) p such that q is in E"

Can anyone explain this concept to me or tell me if this solution is correct? Thank you in advance.