Video Lectures By Prof. S. Kumaresan
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Found total 122 results. Displaying results from 26 to 30.
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26
Continuity Lecture2
local properties of continuosu functions, Bolzano’s theorem, extreme values, compact set in R
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27
Continuity Lecture3
Intermediate Value theorem, n-th root odd degree real polynomial
 prove the intermediate value theorem. Using it, we give three typical applications: (i) the existence of n-th roots for positive numbers (ii) monotonicity of 1-1 continuous functions on an interval and (iii) existence of a real root for any odd degree real polynomial./sddefault.jpg)
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28
Continuity Lecture4
Continuity via epsilon-delta
 We then motivate the epsilon-delta definition of continuity, and give a few examples which illustrate the techniques to find a delta for a given epsilon to establish continuity at a point./sddefault.jpg)
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29
Continuity Lecture5
Thomae’s function, distance of a point from a set
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30
Continuity Lecture 6
Limit of a function, Cluster point
 limits is indicated./sddefault.jpg)
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