函数求极限：x趋近于1时，lim[(1/X-1)-(1/XXX-1)]

Question

如题所述

Answer 1

lim[(1/X-1)-(1/XXX-1)]
=lim[(1/(x-1)-1/（x³-1)]
=lim[(x²+x+1-1)/（x³-1)]
=lim[(x²+x)/（x³-1)]
=不存在

Answer 2

lim[(1/X-1)-(1/XXX-1)]=lim[(1/1-1)-(1/1-1)]=lim[(1-1)-(1-1)]=lim0=0