Hi--

is the set {1/n | n \in N} dense in [0,1].

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- Jul 13th 2010, 12:46 AMChandru1dense
Hi--

is the set {1/n | n \in N} dense in [0,1]. - Jul 13th 2010, 02:12 AMSwlabr
- Jul 13th 2010, 03:23 AMmohammadfawaz
simply ask yourself the following:

is every number in [0,1] either a limit point of the given set or in it?

if yes, then you have a dense set in [0,1]

else, you don't

in this case, the example given (3/4) does not satisfy any of the two conditions. (why?)

Conclude.