Lim [ F(x)/G(x)]=C (常数) limG(x)趋于0 则limF(xLim [ F(x)/G(x)]=C (常数) limG(x)趋于0 则limF(x)趋于0

问题描述:

Lim [ F(x)/G(x)]=C (常数) limG(x)趋于0 则limF(x
Lim [ F(x)/G(x)]=C (常数) limG(x)趋于0 则limF(x)趋于0

limF(x)
=lim[F(x)/G(x)·G(x)]
=lim[F(x)/G(x)]·limG(x)
=C·0
=0