lim x→o (tanx-x)/(x-sinx)极限怎么求呀?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 23:40:02
limx→o(tanx-x)/(x-sinx)极限怎么求呀?limx→o(tanx-x)/(x-sinx)极限怎么求呀?limx→o(tanx-x)/(x-sinx)极限怎么求呀?原式=lim(x->

lim x→o (tanx-x)/(x-sinx)极限怎么求呀?
lim x→o (tanx-x)/(x-sinx)极限怎么求呀?

lim x→o (tanx-x)/(x-sinx)极限怎么求呀?
原式=lim(x->0)[(sec²x-1)/(1-cosx) (0/0型极限,应用洛必达法则)
=lim(x->0)(2sec²xtanx/sinx) (0/0型极限,应用洛必达法则)
=lim(x->0)(2/cos³x)
=2