acostazuany3128 acostazuany3128
  • 08-11-2017
  • Mathematics
contestada

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

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LammettHash
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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