1、x→∞lim (1-1/x)^(5x)=lim (1-1/x)^[(-x)*(-5)]根据复合函数的极限运算：=[lim (1-1/x)^(-x)]^(-5)根据重要的极限=e^(-5) 2、x→∞lim (x/(x+1))^(x+3)=lim [(x+1-1)/(x+1)]^(x+1+2)=lim [1-1/(x+1)]^(x+1) * li...