lim(3-2x/1-2x)的x次方x趋向无穷怎么做?求解.求过程

Question

lim(3-2x/1-2x)的x次方x趋向无穷 怎么做?求解.求过程

Answer 1

lim(x->∞){[(3-2x/1-2x)]^x}=lim(x->∞)【{[1+2/(1-2x)]^[(1-2x)/2]}^[(2x)/(1-2x)]】=【lim(x->∞){[1+2/(1-2x)]^[(1-2x)/2]}】^{lim(x->∞)[(2x)/(1-2x)]}=e^{lim(x->∞)[2/(1/x-2)]} (应用重要极限lim(z->0)[(1+...