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Math, Real Variables
Year 4
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?
By OTA: Alexandru Ghitza, PhD
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