求lim(3-2x／1-2x)^x的三次方的极限,x→∞
问题描述：
求lim(3-2x／1-2x)^x的三次方的极限,x→∞
答
没过程胡说什么的?
lim(x→∞) [(3 - 2x)/(1 - 2x)]^x
= lim(x→∞) [(2 + (1 - 2x))/(1 - 2x)]^x
= lim(x→∞) [1 + 2/(1 - 2x)]^x
= lim(x→∞) [1 + 2/(1 - 2x)]^[(1 - 2x)/2 • 2x/(1 - 2x)]
= e^lim(x→∞) 2x/(1 - 2x)
= e^lim(x→∞) 2/(1/x - 2)
= e^[2/(0 - 2)]
= e^(- 1)
= 1/e