Convergence of Complex Series and Limit Calculation

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[tex]\frac{(-1)^n}{(n!)^2z^n}\\[/tex]
z is a complex number
[tex]\frac{1}{R}=\lim_{n->\infty}\sqrt[n]{|c_n|}\\[/tex]
[tex]\frac{1}{R}=\frac{1}{\sqrt[n]{(n!)^2z^n}}\\[/tex]

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