Question Number 107147 by mathmax by abdo last updated on 09/Aug/20
![find lim_(x→0^+ ) ((∫_0 ^x e^t ln(t)dt)/(e^x lnx))](https://www.tinkutara.com/question/Q107147.png)
$$\mathrm{find}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}^{+} } \:\:\:\:\frac{\int_{\mathrm{0}} ^{\mathrm{x}} \:\mathrm{e}^{\mathrm{t}} \mathrm{ln}\left(\mathrm{t}\right)\mathrm{dt}}{\mathrm{e}^{\mathrm{x}} \mathrm{lnx}} \\ $$