极限x趋近无穷时 (x/x-1)^3x

问题描述:

极限x趋近无穷时 (x/x-1)^3x

lim(x-->∞)(x/x-1)^3x
=lim(x-->∞)【1+1/(x-1)】^【(x-1)*1/(x-1)*3x】
=lim(x-->∞)e^[3x/(x-1)]
=e^3