katzumivenegas84541 katzumivenegas84541

15-05-2018
Mathematics

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Find all the values of x such that the given series would converge. ∑n=1∞(x−4)^n/4^n

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LammettHash LammettHash

15-05-2018

The series is geometric, so it converges for

[tex]\left|\dfrac{x-4}4\right|<1\implies|x-4|<1\implies-1<x-4<1\implies3<x<5[/tex]

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