X 5 3 n 02 x 3 n f x 5 3 2 x 5 3 1 1 2 x 3 5 3 n 0 2

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(b) What is the interval of convergence for53n=0?
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3. [8marks] Determine the sum of the seriesn=1(a) Use term-by-term differentiation to express1(1-x)2as the sum of an infinite series.
(b) Use your result from (a) to determine a power series representation forx

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