- #1
xsw001
- 37
- 0
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.
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.