Infinate sums help

I have a math question i need help with
I need to do an infinite sum of x(-1)^(x+1) from x=0 to infinity. Any tips on how to do, with an explanation on how to do it?

>>1
Can't be done. You're black.

>>2
Go back to /b/.

http://www.anontalk.se/

You're going to need to purchase a premium copy of Matlab or Maple for this one.

>>1
Hmmm.  If x=2, then you have 2 - 4 + 8 - 16 + 32 - 64 etc.  With infinite set crap, it looks like infinity minus infinity or something.

If x=1/2, then you have 1/2 - 1/4 + 1/8 etc. which is whatever the hell, I haven't been schooled in this for decades.

Since the infinite sum of one over all of that shit converges, i.e.

[math]
\sum_{x = 0}^\infty(\frac{1}{x})^{x + 1},
[\math]
your original infinite sum will diverge. In other words, you can't solve it.

use the taylor series around 0 of ln(x+1)