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- Jul 28th 2010, 09:43 AMfxs12nice inequality
- Jul 28th 2010, 11:15 AMArchie Meade
- Jul 29th 2010, 03:27 AMfxs12
**thank you , but how didi you get this?**

- Jul 29th 2010, 02:16 PMArchie Meade
Sorry, that approximation may be a bit on the crude side!!

What you have is the difference between a pair of Harmonic series.

There are alternative quick calculations for that,

and you may be requiring a particular type of solution,

possibly along other lines.

One approximation is...

where is Euler's constant.

Taking either or

we get approximately

or

which is basically approximately the difference between the logarithms