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find-lim-x-0-0-x-e-t-ln-t-dt-e-x-lnx-




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))
$$\mathrm{find}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}^{+} } \:\:\:\:\frac{\int_{\mathrm{0}} ^{\mathrm{x}} \:\mathrm{e}^{\mathrm{t}} \mathrm{ln}\left(\mathrm{t}\right)\mathrm{dt}}{\mathrm{e}^{\mathrm{x}} \mathrm{lnx}} \\ $$

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