for instance: Σ_{n=1}^{∞} (z^n)/( Γ(n+2) * Γ(n+3) * Γ(n+ 7) ). converges for all z. look at those gamma functions! they get large *fast*.
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for instance: Σ_{n=1}^{∞} (z^n)/( Γ(n+2) * Γ(n+3) * Γ(n+ 7) ). converges for all z. look at those gamma functions! they get large *fast*.