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nestor18

  • 3 years ago

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.

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  1. cinar
    • 3 years ago
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    it converges to k

  2. nestor18
    • 3 years ago
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    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?

  3. cinar
    • 3 years ago
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    let (k-1)/k= x

  4. cinar
    • 3 years ago
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    x=1-1/k since k>1 0<x<1

  5. cinar
    • 3 years ago
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    |dw:1355015896398:dw|

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