Lecture 10: The Completeness of the Real Numbers and Basic Properties of Infinite Series
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Загружено: 2022-06-21
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MIT 18.100A Real Analysis, Fall 2020
Instructor: Dr. Casey Rodriguez
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YouTube Playlist: • MIT 18.100A Real Analysis, Fall 2020
We introduce Cauchy sequences and prove the completeness of the real numbers: i.e. every Cauchy sequence is convergent. We also begin studying infinite series, which we will focus on for the next few lectures, starting with geometric series.
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