=lima^x(xln(1+1/x)-1)
=lim(xln(1+1/x)-1)/e^(-x)
= lim(ln(1+1/x)+x(-1 /x? )/(1+1/x))/-e^(-x)
=lim(1/(x+1)-ln(1+1/x))/e ^(-x)
=lim(-1/(x+1)?-(-1/x?)/(1+1/x))/-e^(-x)
=lim-e^x/(x+1)
=-∞
=lima^x(xln(1+1/x)-1)
=lim(xln(1+1/x)-1)/e^(-x)
= lim(ln(1+1/x)+x(-1 /x? )/(1+1/x))/-e^(-x)
=lim(1/(x+1)-ln(1+1/x))/e ^(-x)
=lim(-1/(x+1)?-(-1/x?)/(1+1/x))/-e^(-x)
=lim-e^x/(x+1)
=-∞