Math Is Fun Forum

xsw001

Member

Registered: 2010-10-23

Posts: 7

Show set has no limit points

D={set of real numbers consisting of single numbers}
Show set D has no limit points, and show the set of Natural numbers has no limits points.

I know it's a very simple question.  I don’t know my way of approaching this is appropriate or not.  Let me know.  Thanks.

A finite set of real numbers consisting of single numbers is not a sequence and doesn’t converge to a specific number.  Therefore can’t have limit points.

I know the fact that the set of Natural numbers are denumerable (infinite countable), and it diverges, therefore natural numbers have no limit point.