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. * Suppose we have two convergent series n an = A and 0bn = B where A, B = R (a) Prove that

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. * Suppose we have two convergent series n an = A and 0bn = B where A, B = R (a) Prove that (an+bn) = A + B (b) Prove that whenever kER, we have kan = kA. (c) Is it the case that n=0 anbn = AB? Why or why not?

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