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Category: Limits

if-a-b-gt-1-lim-x-0-ln-b-x-ax-

Question Number 103654 by Study last updated on 16/Jul/20 ifa,b>1limx0+ln(bx)ax=??? Answered by Worm_Tail last updated on 16/Jul/20 $$\:\:\:\:\:\:{li}\underset{{x}\rightarrow\mathrm{0}^{+} } {{m}}\frac{{ln}\left({b}−{x}\right)}{{ax}}={lim}\left(\frac{\mathrm{1}}{{a}}{ln}\left({b}−{x}\right)^{\frac{\mathrm{1}}{{x}}} \right)…