Find the root of the Equation

When I uese matlab to solve the Equation, it always cannot work, it returns NaN. This puzzled me a few days. The Equation as follows.
sum(P(k)*x^(k^(alpha)))=0.9995, where 0<k<infty and alpha=15.
I know k^alpha is very large, but how to make this can solve is really hard for me. Thanks!

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Azzi Abdelmalek
Azzi Abdelmalek on 30 Jul 2012
Edited: Azzi Abdelmalek on 30 Jul 2012
what is P(k)?
Is x in the range -1 <= x <= 1, or can abs(x) be greater than 1 ?

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u
on 30 Jul 2012

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