求极限lim(x→0)(tanx-sinx)/(x-sinx)
求极限lim(x→0)(tanx-sinx)/(x-sinx)
数学人气:111 ℃时间:2019-11-17 04:50:38
优质解答
先用洛毕塔法则原式= lim (sec²x-cosx)/(1-cosx)=lim (1-cos³x)/((1-cosx)cos²x)= lim (1-cos³x)/(1-cosx) / lim 1/cos²x=lim (1-cosx)(1+cosx+cos²x)/(1-cosx)=lim 1+cosx+cos²...
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