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

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

User Som Poddar
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1 Answer

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\displaystyle\sum_(n\ge0)(5x-1)^n

As a geometric series, this will converge for


|5x-1|<1\implies -1<5x-1<1\implies 0<5x<2\implies 0<x<\frac25
User Eric Postpischil
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