Mathematics Homework Solutions
#8445
Cauchy Sequences
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?
Whether sequences are Cauchy or not is determined. The solution is detailed and well presented. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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