Question: This is the question,just give a solution to this question: Let En- an and En- by be two absolutely convergent series. For every pair of

This is the question,just give a solution to this question:

Let En- an and En- by be two absolutely convergent series. For every pair of natural numbers (i, j) We define c(i,;) = aib;. Show that for a bijection f: N - N x N the infinite series [ cf(n ) n=0 is absolutely convergent.We use the same notation as in C12. Prove that the limit of the innite series 2210 cn} is equal to a - b, where a 2 2210 an and b 2 22:0 5\

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