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What does the series converge to, Summation from n=0 to infinity: ((k-1)/k)^n where k is a real number greater than 1.

Mathematics
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it converges to k
I just do not understand how this correlates to a geometric series. If I want to get epslim within .00001 say how do I show this?
let (k-1)/k= x

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Other answers:

x=1-1/k since k>1 0
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