1.lim x→0 3x/(sinx-x)2.lim x→0 (1-cosmx)/x^23.lim x→0 sin4x/[(√x+2)-√2]4.lim h →0 [sin(x+h)-sin(x-h)]/h

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1.lim x→0 3x/(sinx-x)2.lim x→0 (1-cosmx)/x^23.lim x→0 sin4x/[(√x+2)-√2]4.lim h →0 [sin(x+h)-sin(x-h)]/h

1.lim x→0 3x/(sinx-x)2.lim x→0 (1-cosmx)/x^23.lim x→0 sin4x/[(√x+2)-√2]4.lim h →0 [sin(x+h)-sin(x-h)]/h
1.lim x→0 3x/(sinx-x)
2.lim x→0 (1-cosmx)/x^2
3.lim x→0 sin4x/[(√x+2)-√2]
4.lim h →0 [sin(x+h)-sin(x-h)]/h

1.lim x→0 3x/(sinx-x)2.lim x→0 (1-cosmx)/x^23.lim x→0 sin4x/[(√x+2)-√2]4.lim h →0 [sin(x+h)-sin(x-h)]/h
lim x→0 3x/(sinx-x)
洛必达
=lim 3/cosx-1
->∞
2.lim x→0 (1-cosmx)/x^2
=lim 2sin^2(mx/2)/x^2
=lim 2(mx/2)^2/x^2
=m^2/2
3 lim x→0 sin4x/[(√x+2)-√2]
=lim sin4x((√x+2)+√2)/x
=8√2
4 lim h →0 [sin(x+h)-sin(x-h)]/h
=lim h →0 [sin(x+h)-sinx+sinx-sin(x-h)]/h
=sin'x+sin'x
=cosx+cosx
=2cosx

lim (x→0)x-sinx/x lim (x->0) 3x/(sinx-x) 求极限lim(x→0)x-sinx/x^3 lim(x→0)(sinx -x)/x^3 lim(x→0)sinx/|x|rt lim x-sinx/x+sinxx→0 lim x→0 x/sinx= lim(x→0)arctan(sinx/x) lim x→0((x+ sinx)/tanx) lim x→0(sinx)^x lim(x→0)(x-sinx)/(x+sinx) lim(x→0) x-sinx/x+sinx的极限 lim[(x-sinx)/(x+sinx)] x→0 1.lim sinX^3/(sinX)^3x→02.lim tan2X/sin5Xx→03.lim(1/1+x)^(1/2x+1)x→0 lim[x→0](tanx-sinx)/(sinx)^3=? lim(x→0)(sinx-tanx)/(sinx)^3 lim sinx^3/x^3 x→0 的极限 求极限:lim(x→0)(tanx-sinx)/x^3