Homework

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April 27th 2006, 06:31 AM
miss_lolitta

Homework

can someone find $\sum-{i=1}^{\infty}1\frac{i}$ ??

thanks
April 27th 2006, 06:38 AM
TD!

Your LaTeX-code isn't right but from the code I suspect you mean

$\sum\limits_{i = 1}^{ + \infty } {\frac{1}{i}}$

If so, this sum (harmonic series) diverges.
April 27th 2006, 06:41 AM
miss_lolitta

Sorry i mean this sum:
$\sum-{i=1}^{\infty}1\frac{{i}^2}$ ??
April 27th 2006, 06:46 AM
TD!

Still not there, do you mean

$<br /> \sum\limits_{i = 1}^{ + \infty } {\frac{1}{i^2}}<br />$

?
April 27th 2006, 06:50 AM
miss_lolitta

yes thanks
April 27th 2006, 06:52 AM
TD!

That's a very well-known problem with the nice answer $\frac{\pi^2}{6}$ but it's not trivial to find this result.

This pdf file contains 14 (!) different proofs for it, some a bit more understandable than others, depending on your mathematical background.
April 27th 2006, 07:00 AM
miss_lolitta

thank u sooooooooooooooo much
April 27th 2006, 07:05 AM
TD!

You're welcome :)

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