acostazuany3128 acostazuany3128

08-11-2017
Mathematics

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Find the interval of convergence of the series (5x-1)^n

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LammettHash LammettHash

08-11-2017

[tex]\displaystyle\sum_{n\ge0}(5x-1)^n[/tex]

As a geometric series, this will converge for

[tex]|5x-1|<1\implies -1<5x-1<1\implies 0<5x<2\implies 0<x<\dfrac25[/tex]

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