Continuity

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Lecture Notes

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Section 3, Page 2

Brief definition with types of discontinuities listed.

Instructor: Prof. Jason Starr
Prior Knowledge: Concept of limit (section 2 of this lecture)
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Document PDF#
Page 2 to page 3

Definition of points of discontinuity, including removable, jump, infinite, and essential discontinuities. Includes diagrams and four examples.

Instructor: Prof. David Jerison
Prior Knowledge: One-sided limits (page 1 of this file)
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Exam Questions

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Problem 9 (page 1)

Finding the points of discontinuity for three different functions.

Instructor: Prof. David Jerison
Prior Knowledge: None
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Problem 1D-1 (page 3) to problem 1D-10 (page 4)

Ten questions which involve calculating one- and two-sided limits, identifying points of discontinuity, and making piecewise defined functions continuous and differentiable.

Instructor: Prof. David Jerison
Prior Knowledge: Limits and Continuity (CR-C)
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