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## Homework Statement

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)??

## Homework Equations

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

## The Attempt at a Solution

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