x→0时,sinx-xcosx与x-sinx都趋于0
使用洛必达法则
=lim (cosx-cosx+xsinx)/(1-cosx)
=lim (sinx+xcosx)/sinx
=lim (cosx+cosx-xsinx)/cosx
=2
求lim (sinx-xcosx)/(x-sinx)
1个回答
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