Application of intermediate value theorem.
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 statements of intermediate value theorem, the general theorem about continuity of inverses are discussed. The rational exponent with a positive base is defined and explained. The laws of exponents are verified in the case of rational exponent with positive base.
Prof. James Raymond Munkres, Maths, 18.014 Calculus with Theory, Fall 2010:7. Rational exponents – an application of the intermediate-value theorem, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed August 3,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc
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