Fundamental theorems of continuity of a function in closed interval
MIT OpenCourseWare http://ocw.mit.edu 18.014 Calculus with Theory Fall 2010 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.
Description
The three fundamental theorems on the continuity of a function in a closed interval are discussed. Intermediate value theorem, the small span theorem and the extreme-value theorem are stated and proved. The application of the small- value theorem is discussed also.
Prof. James Raymond Munkres, Maths, 18.014 Calculus with Theory, Fall 2010:8. The small span theorem and the extreme-value theorem, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed August 3,2011). License: Creative Commons BY-NC-
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