1.lim(1-1/x)的5x次方的极限.x趋向于无穷大.2.lim(x/x+1)的x+3次方的极限.x趋向于无穷大.[要具体过程]

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...