If denotes the greatest integer not exceeding x, then . I know this can be manipulated into a telescoping series but I am stuck here.
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Is... Kind regards
Originally Posted by chisigma Is... Kind regards I am confused though on how you went from the series to fraction
The expression is a 'geometric series' and its sum is given by a well known formula... Kind regards
in short way, it's so the computation of last integral and the remaining series gives the result.
Originally Posted by Krizalid in short way, it's so the computation of last integral and the remaining series gives the result. I was hoping to see the integral set up as a series minus a series which turns out to be telescoping since I know it can be done that way.
Last edited by dwsmith; May 18th 2010 at 09:02 PM.
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