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Series : Domain of Convergence

Find the domain of convergence of each of the following:
a) Summation from n = 1 to infinity of [(z-1)^2n]/((2n)!)
b) Summation from n = 1 to infinity of [(n^2 + 1)/(2n + 1)]z^n
c) Summation from n = 1 to infinity of [(z + 1)^n]/n
d) Summation from n = 0 to infinity of [(z - 1)/(z + 1)]^n

Solution Summary

Domains of convergence are found. The solution is detailed and well presented.

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