How do you prove that the lim n->infinity (n-1/n)=1?(adsbygoogle = window.adsbygoogle || []).push({});

I know that the definition of convergence for a sequence xn is for all E>0, there exists an N is an element of the set of a natural numbers and there exists a n>=N, such that lxn-Ll<E.

Is it sufficient to just show that 1 is the least upper bound, and that

1- (n-1/n) <E and thus 1-E<(n-1/n) and then n-nE<n-1 and ultimately there is an n such that n-nE+1<n

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# Converging to a limit

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