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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

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User Som Poddar
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7.7k points

1 Answer

1 vote

\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
answered
User Eric Postpischil
by
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