Question: By recognizing the series ((1/2)) + ((1/2))2 ((1/2))3 + .. . + (-1)2 ((1/2) ) 2 3 n as a Taylor series evaluated at

 By recognizing the series ((1/2)) + ((1/2))2 ((1/2))3 + .. .

+ (-1)2 ((1/2) ) " 2 3 n as a Taylor series

By recognizing the series ((1/2)) + ((1/2))2 ((1/2))3 + .. . + (-1)2 ((1/2) ) " 2 3 n as a Taylor series evaluated at a particular value of r, find the sum of the convergent series. sum=

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