Proof: Limit Law for Difference of Convergent Series | Real Analysis
We prove the limit law for the difference of convergent series. If two series converge to a and b, then the series whose terms are the differences of the terms of the original two series is the difference of the limits: a-b. We'll prove this using the limit law for the difference of convergent sequences and the definition of a convergent series, which is based on its sequence of partial sums. #RealAnalysis
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