Consider the set B of all dyadic rational numbers between 0 and 1. Show that for all a in [0,1], there exists for epsilon>0, there exists at least one c in the set B such that abs(a-c)<epsilon.
Could someone help me prove this?
Thanks.
Consider the set B of all dyadic rational numbers between 0 and 1. Show that for all a in [0,1], there exists for epsilon>0, there exists at least one c in the set B such that abs(a-c)<epsilon.
Could someone help me prove this?
Thanks.