Question: Exercise 2.5.9: a) Prove that if EX, and Eyn converge absolutely, then EXnyn converges absolutely. b) Find an explicit example where the converse does not

Exercise 2.5.9: a) Prove that if EX, and Eyn converge absolutely, then EXnyn converges absolutely. b) Find an explicit example where the converse does not hold. c) Find an explicit example where all three series are absolutely convergent, are not just finite sums, and (Exn) (Eyn) # [xnyn. That is, show that series are not multiplied term-by-term

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