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Convergent sequence

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Suppose {a_n} is a sequence that satisfies the condition
lim n-> oo (a_n+1 - a_n)=0. Prove that the sequence {a_n / n} converges to 0.

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Solution Summary

This shows how to prove a given sequence converges to zero.

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Please see the attachment for solution.

Theorem: If is a bounded sequence and is a convergent sequence converging ...

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