Given any real number and positive integer , prove that Deduce that for any real number and positive integers and , one has I think the second part is very straightforward i.e. I just can't prove the initial part. Any help appreciated!
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Let where and and q and r are integers. I think this goes somewhere.
Cheers, think I get it.. So by putting as you suggest we have and as so Now as and , and we have so also. Therefore
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