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Please provide clear explanation for the question. Thank you. (I) Suppose that 2 an is a convergent series, with positive terms (i.e., n=l an >0

Please provide clear explanation for the question. Thank you.

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(I) Suppose that 2 an is a convergent series, with positive terms (i.e., n=l an >0 for all n). (I) 1 (a) Does the series 2 1n() converge or diverge? Explain. n=1 an 3 1 (b) Does the series Z (%\"n + 3\") converge or diverge? Explain. n=1

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