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QUESTION

a) Is it possibile to have an unbounded sequence {a n } so that lim n-inf (a n /n)=0 I understand this part of the question. I can pick , and I see...

, and I see that the series is not bounded, but the limit is 0.

b) Prove that if the sequence {an} satisfies limn->inf(an/n)=L, and L does not equal 0. then {an} is unbounded.

I do not understand how to execute this proof

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