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Find a series 211 -0 an such that: a) 211 0 an converges but 2' _0(an)2 diverges. b) 211:0 an diverges but?0 4,031)2 converges

Find a series 211 -0 an such that: a) 211 0 an converges but 2'\" _0(an)2 diverges. b) 211:0 an diverges but?0 4,031\")2 converges

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