Been working on this question for a while now and despite scouring my notes and the internet, i still haven't been able to come up with a good answer...
Prove that the set of numbers which are powers of 2 (i.e. {1,2,4,8,16,32,…}) is a countably infinite set.
How would i go about proving this? could i use proof by induction?
Any help would be greatly appreciated :)
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