LIM(X趋向0)(tanx-x)/x³=LIM(X趋向0)(sec²x-1)/(3x²)=LIM(X趋向0)(1-cos²x)/(3x²cos²x)
=LIM(X趋向0)(sinx/x)²/(3cos²x)=1/3
LIM(X趋向0)x³/(x-sinx)=LIM(X趋向0)3x²/(1-cosx)=LIM(X趋向0)3x²/2 sin²(x/2)
=LIM(X趋向0) 6 [(x/2)/sin(x/2)]²=6
原极限=(1/3)6=2
LIM(X趋向0)(tanx-x)/(x-sinx)
LIM(X趋向0)(tanx-x)/(x-sinx)
数学人气:497 ℃时间:2019-10-11 15:12:42
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