18.100A | Fall 2012 | Undergraduate

Introduction to Analysis

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Description:

The Intermediate Value Theorem: If f is a function which is continuous on the closed interval [a, b], and u is a real number between f(a) and f(b), then there exists c in [a, b] such that f(c) = u. Image by MIT OpenCourseWare.

Alt text:
Graph of the Intermediate Value Theorem.
Caption:
The Intermediate Value Theorem: If f is a function which is continuous on the closed interval [a, b], and u is a real number between f(a) and f(b), then there exists c in [a, b] such that f(c) = u. (Image by MIT OpenCourseWare.)
Credit:
Image by MIT OpenCourseWare.
Graph of the Intermediate Value Theorem.

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Fall 2012