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Math 153 Concept Check 09 Problem 1) Determine whether each of the following series converges or diverges. Give a formal argument. (3) En: -1n 2,;

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Math 153 Concept Check 09 Problem 1) Determine whether each of the following series converges or diverges. Give a formal argument. (3) En: -1n 2,; )7! (b) En: =1EII% Problem 2) The following series converges. Find the exact value (no decimal approximations) of the limit/sum. (Hint: Be careful with the limit of arctan.) Z [ arctan(k + 1) arctan(k) ] k=1

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