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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- May 18th 2010, 11:59 AMdwsmith[SOLVED] Integration of floor functions
If denotes the greatest integer not exceeding x, then .

I know this can be manipulated into a telescoping series but I am stuck here. - May 18th 2010, 01:06 PMchisigma
Is...

Kind regards

- May 18th 2010, 01:17 PMdwsmith
- May 18th 2010, 01:55 PMchisigma
The expression is a 'geometric series' and its sum is given by a well known formula...

Kind regards

- May 18th 2010, 03:15 PMKrizalid
in short way, it's so the computation of last integral and the remaining series gives the result.

- May 18th 2010, 03:17 PMdwsmith