Mathematics, 08.03.2021 03:00, gmaxgaming88

Suppose sigma ∞ to n=1 of (an) converges absolutely. Define (pn) = max(0, (an)) and (qn) = min(0, (an)).
Then both sigma ∞ to n=1 of (pn) and sigma ∞ to n=1 of (qn) converge.

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Suppose sigma ∞ to n=1 of (an) converges absolutely. Define (pn) = max(0, (an)) and (qn) = min(0, (...