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skyturnred

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## Homework Statement

here is the series:

[itex]\sum^{\infty}_{n=0}[/itex]x(-15(x[itex]^{2}[/itex]))[itex]^{n}[/itex]

## Homework Equations

## The Attempt at a Solution

I know that

-1<-15x[itex]^{2}[/itex]<1 for convergence (because of geometric series properties)

but I run into a problem here:

-1/15<x[itex]^{2}[/itex]<1/15

You can't take the square root of a negative number.. so is the interval of convergence just

[0,(1/15)[itex]^{1/2}[/itex])?

Thanks

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