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Lecture from Math 441 Real Analysis, at Shippensburg University. This courses follows the book Understanding Analysis by Lemma 1.3.8. from Stephen Abbott's Understanding Analysis.
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Inspired by LiveOverflow: Theorem 2.3.2. (Convergent Seq. Bounded) Theorem 2.3.2. (Convergent Seq. Bounded) from Understanding Analysis by Stephen Abbott.
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The definition of continuity is developed slowly for the student. Beginning with "if you can draw it without lifting your pencil then it's Inverse Gas Chromatography (IGC) - The Basics Explained by Steven Abbott Lectures: Chris Staecker; Real Analysis course lectures based on Abbott
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