lim(x rarr c)(ln x-1)/(x-e)...

lim_(x rarr c)(ln x-1)/(x-e)

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lim_(x rarr e)(log x-1)/(x-e)=(1)/(e)

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Prove that: lim_(x rarr e) (log-1)/(x-e)=(1)/(e)

lim_ (x rarr e) (ln x-1) / (xe)

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Using lim_(x rarr 0) (e^(x)-1)/(x)=1, deduce that, lim_(x rarr 0) (a^(x)-1)/(x)=log_(e)a [agt0].

lim_(x rarr oo)((log x)/(x))^(1/x)

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