4. The pattern of a sequence of functions is given by ao (x) = e==? a1 (x) = dx ) dx az (x) = dx ) dx ) dx (a) Express the general term ar (x) of the sequence in the power series form. (b) For what...

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Extracted text: 4. The pattern of a sequence of functions is given by ao (x) = e==? a1 (x) = dx ) dx az (x) = dx ) dx ) dx (a) Express the general term ar (x) of the sequence in the power series form. (b) For what values of x, the series ar (x) k=0 is convergent? Show your work!!!