1/1-x-3/1-x3 lim的极限x趋向无穷大

lim(1/(1-x)-3/(1-x3)
=lim(1+x+x^2-3)/(1-x3)
=lim(x-1)(x+2)/(1-x3)
=lim(-(x+2)/(1+x+x^2)
=-1 题目是(1/1-x)-(1/1-x3)么?
如果是的话
1-x3=(1-x)(1+x+x2)
通分
(x+x2)/(1-x)(1+x+x2) lim x-->1
原式——》0 lim(x→-1)(x+x3+x5+x7+4)/(x+1)
=lim(x→-1)(1+3x2+5x4+7x6)/1
=1+3+5+7
=16

    推荐阅读