Find the limit as x approaches infinity for (x - ln x). l’Hopital’s Rule

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There is other method.
Write x as ln(e^x) .
So lim ln(e^x)-ln(x) = ln( e^x/x ).
Then use hospital rule for lim e^x/x to get lim e^x which is infinity.
So ln (inf)=inf

josip_giuseppe