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Lengalicious
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Homework Statement
Series:
[tex]\sum_{n=1}^{\infty}(-1)^{(n+1)}\frac{(x)^n}{na^n}[/tex]
what is the behaviour of the series at radius of convergence [tex]\rho_o=-z[/tex] ?
Homework Equations
The Attempt at a Solution
So I can specify that the series is monatonic if z is non negative as [tex]\sum_{n=1}^{\infty}(-1)^{(n+1)}\frac{(-z)^n}{na^n}[/tex] right?
But then I suppose I have to do the integral test but I am a bit confused because you cannot integrate [tex](-1)^{(x+1)}\frac{(-z)^x}{xa^x}[/tex]?
Thanks, in advance!
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