Suppose and have radii of convergence and respectively. Show that the Cauchy Product converges for .

So . Assume . Put where . Then for large enough. Thus . Thus converges.

Is this correct?

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- Feb 14th 2009, 08:15 PMmanjohn12Cauchy Product
Suppose and have radii of convergence and respectively. Show that the Cauchy Product converges for .

So . Assume . Put where . Then for large enough. Thus . Thus converges.

Is this correct? - Feb 15th 2009, 03:55 AMHallsofIvy