4 3 x 1 2 n 1 n 17 2 1 3 x 2 n 1 which is a geometric

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2. [7marks] Consider the functionfdefined byf(x) =(a) Using your result from 1(b), without integrating, state the radius of convergence of the power seriesrepresentation ofZf(x)dx.n=1(x+ 2)n
(c) Determine the interval of convergence for the series in (b). Compare to the interval of convergence from1(b). What do you notice?

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