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Exploring Limits and Continuity in Calculus III

Learn about limits of functions on different domains such as Trig, Polynomials, Rationals, and Roots. Understand how to approach limits at undefined locations by considering all possible paths. This advanced topic requires careful analysis and practice. Assignment: Solve problems 5-53 (even only) from section 13.2.

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Exploring Limits and Continuity in Calculus III

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  1. Section 13.2Limits and Continuity Calculus III November 3, 2009 Berkley High School todd1@toddfadoir.com

  2. Easy part… • The following functions have limits on their domains… • Trigs • Polynomials • Rationals • Roots

  3. Hard part… • When the limit is taken at a location where the function is not defined, then you need to look at all possible paths. • This is not just hard, it is very hard.

  4. Assignment • 13.2, 5-53 eoo

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