What is the geometric power series?

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Dec 7, 2015

#a+ax+ax^{2}+ax^{3}+cdots#, which converges to #a/(1-x)# when #|x|<1#. More generally, you could also write #a+a(x-c)+a(x-c)^{2}+a(x-c)^{3}+cdots#, which converges to #a/(1-(x-c))=a/((1+c)-x)# when #|x-c| < 1#.

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What is the geometric power series?

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