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Cauchy Sequence Analysis and Examples by Tom Davis is a document available to read on EtoBox.

What is Cauchy Sequence Analysis and Examples about?

The document analyzes several sequences to determine if they are Cauchy sequences or not. It is shown that: (1) The sequence {an} = {n+(−1)n/(n+3)} is a Cauchy sequence since |an - am| can be made arbitrarily small by choosing a large enough n0. (2) The sequence {an} = {n/(n+1)} is not a Cauchy sequence since |an - an+1| is always greater than 1. (3) The sequence {an} = {√n} is not a Cauchy sequence since |an - am| can be made equal to 1/2 no matter how large

Author

Tom Davis

Language

EN