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Question: 63 more on the arithmetic of series theorem 64 a...

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6-3. More on the arithmetic of series (Theorem 6.4) (a) Prove part 2 of Theorem 6.4. (b) Prove part 3 of Theorem 6.4.
and bj be convergent series of real numbers and let c be Theorem 6.4 Let a real number. Then the following hold. I. The series Σ aj + bj converges and Σ aj + bj Σαj + Σbj. 2. The series Σ aj-bj converges and Σ aj-bj Σaj 3. The series Σ caj converges and Σ caj cEj. ent. -Σb) bi. j-1
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