It isn't a homework problem but I think I better post it here instead of Mathematics forum, since it belongs to "exam help".(adsbygoogle = window.adsbygoogle || []).push({});

Prove that for any positive real numbers a and b,

lim [(an+b)^{1/n}-1] = 0

n->inf

I don't need to use things like |a-b|<epsilon. A simple way will do. I know it's an easy question but I don't know where to start. Could someone please help.

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# Limit of a sequence

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