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.
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