Mathematics Homework Solutions
Problem
#8445

Cauchy Sequence

Suppose that {x_n} is a sequence which satisfies

|x_{n+1} - x_n| <= 1/log n

Is this sequence Cauchy?  What about the one satisfying

|x_{n+1} - x_n| <= 1/(1 + epsilon)^n

where epsilon > 0?


Solution Summary

Whether sequences are Cauchy or not is determined. The solution is detailed and well presented.

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