lim(x→∞）[（2x+3）/（2x-1）]的（x+1）次方的极限

lim(x→∞）[（2x+3）/（2x-1）]^（x+1）=lim(x→∞）[1+4/（2x-1）]^（x+1)=lim(x→∞）[1+4/（2x-1）]^[（2x-1)/4]*[4*（x+1)/（2x-1)]=lim(x→∞）e^[4*（x+1)/（2x-1)]=e^2