let a_n be a sequence which satisfies lim (a_n)^1/n<1 as n appraoches infinity, a_n>=0 for every n. prove that lim a_n=0.(adsbygoogle = window.adsbygoogle || []).push({});

what i did is as follows, for every e>0 there exists n0 such that for every n>=n0 |a_n^1/n-a|<e.

then 0=<a_n<(a+e)^n

we get a<1 a_n<(1+e)^n

but how do i procceed from here?

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# Homework Help: Question on convergence.

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