(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If lim (x->∞) [ln(x^(1/x))]=0 and lim (x->∞) x^(1/x)=1, then does this

=>

lim (x->∞) [ln(x^(1/x))]= ln(lim(x->∞) [(x^(1/x))]) = ln(1)??

2. Relevant equations

lim (x->∞) [ln(x^(1/x))]=0 and lim (x->∞) x^(1/x)=1

3. The attempt at a solution

lim (x->∞) [ln(x^(1/x))]= ln(lim(x->∞) [(x^(1/x))] = ln(1)

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# Homework Help: An Implication of a limit rule

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