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Application of Cauchy's Mean Value Theorem in real life?
Cauchy's Mean Value Theorem (MVT) can be applied as so. Say that Doug lends his car to his friend Adam, who is going to drive it from point A to point B. If the distance between A and B is 100 miles, and it only takes Adam X amount of time, was he speeding at any point? Using Cauchy's MVT, it can be determined, because velocity is a function of displacement vs. time. This is a very simple application, but the MVT can be used to determine if anything is operating at above or below a specified tolerance very quickly, and once that is determined, allows an engineer to closely identify when they occur.
Is every cauchy sequence is convergent?
Every convergent sequence is Cauchy. Every Cauchy sequence in Rk is convergent, but this is not true in general, for example within S= {x:x€R, x>0} the Cauchy sequence (1/n) has no limit in s since 0 is not a member of S.
What Show that 1/2n is a cauchy sequence?
0.5
What is Cauchy's constant of a prism?
A=1.621 ,B=8.8x10-15
What is Example of bounded sequence which is not Cauchy sequence?
((-1)^n)
