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I have the following infinite series:

[tex]\frac{10}{x}+\frac{10}{x^2}+\frac{10}{x^3}+\ldots[/tex]

How would I find a function, f(x), of this series?

I know the series converges for [tex]\vert x \vert > 1[/tex]

I think the function is: [tex]f(x) = \frac{10}{x-1}[/tex]

but I'm not sure how to get it.

Thanks,

Bailey

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# Infinite Series: Find Function

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