What is the Cauchy Product Formula in Power Series?

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SUMMARY

The Cauchy Product Formula in power series is derived by multiplying two power series and evaluating at z = 1. In the discussion, Rudin's method of motivation for this formula is highlighted, although initial confusion is expressed by a participant. Ultimately, the participant successfully comprehends the derivation process, indicating the formula's accessibility upon further examination.

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jecharla
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Rudin motivates this formula by multiplying two power series and then setting z = 1 and somehow obtaining the cauchy product formula. But I am not following how he does this at all. Can anyone help me understand this?
 
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Nevermind I figured it out!
 

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