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Theorem 2: Series of Sums is equal to Sum of Series

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Published: 29 Jun 2026 › Updated: 29 Jun 2026Theorem 2: Series of Sums is equal to Sum of Series

Theorem 2: Series of Sums is equal to Sum of Series

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In this video, I go over Theorem 2, which states that we can move a constant out of the sum of a series as well as add or subtract series individually. These follow from the Limit Laws of Sequences, and I use this to prove that the series involving an addition of terms is equal to an addition of the individual series.

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