Thread: a proof at the beginning of analysis

given any reel number x there is an integer n such that n>x

Originally Posted by sah_mat

given any real number x there is an integer n such that n>x

this is essentially asking for a proof of the Archimedean Property: If and , then for some integer , we have .

i leave it to you to find the proof for this. chances are it is your text, if not (which would be strange) a quick web search should turn up results easily. it is a very famous property.

setting and you have the claim you want to prove.

minor modifications are needed for the case