函数求极限:x趋近于1时,lim[(1/X-1)-(1/XXX-1)]

问题描述:

函数求极限:x趋近于1时,lim[(1/X-1)-(1/XXX-1)]

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

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