For what value z is the series n1 to infinity zn1z2n converg

For what value z is the series n=1 to infinity z^n/(1+z^(2n)) convergent?
For what value z is the series n=1 to infinity z^n/(1+z^(2n)) convergent?
For what value z is the series n=1 to infinity z^n/(1+z^(2n)) convergent?

Solution

for all values of z

 For what value z is the series n=1 to infinity z^n/(1+z^(2n)) convergent? For what value z is the series n=1 to infinity z^n/(1+z^(2n)) convergent? For what va

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