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limx→π/2 los3xsin3x/losxsinx是如何化成limx→...

12(3-3X)=-X+4 36-36X=-X+4 36X-X=36-4 35X=32 X=32÷35 X=32/35 2(X-3)=-4(X+5) 2X-6=-4X-20 6X=-14 X=-8/3 (X-7)/4-(5X+8)/3=1 两边乘12 3X-21-20X-32=12 17X=-65 X=-65/17 (0.1X-2)/0.6-(0.5-0.3X)/0.02=1 两边乘0.6 0.1X-2-15+9X=0.6 9....

见图

x趋于多少?

原式=limx→0 (6-cosx-2cos2x-3cos3x)/3x^2 =limx→0 (sinx+4sin2x+9sin3x)/6x =limx→0 (cosx+8cos2x+27cos3x)/6 =(1+8+27)/6 =6。

积化和差∫sinxsin2xsin3xdx=1/2∫(cosx-cos3x)sin3xdx=1/2∫cosxsin3xdx-1/2∫cos3xsin3xdx=1/4∫(sin2x+sin4x)dx-1/4∫sin6xdx=-1/8cos2x-1/16cos4x+1/24cos6x+C数学软件验算:

1/3

解题关键:0/0型,用洛必达法则。 满意请采纳!!!

求极限 当x趋向于π/2时 limtanx/tan3x 解:lim(x→π/2)tanx/tan3x =lim(x→π/2)(sinx/cosx)/(sin3x/cos3x) =lim(x→π/2)(1/cosx)/((-1)/cos3x) =-lim(x→π/2)(cos3x/cosx) =-lim(x→π/2)(-3sin3x)/(-sinx) =3

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