limx趋向于0(1/sin^(2)x-1/x^2) 洛必达法则

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limx趋向于0(1/sin^(2)x-1/x^2)洛必达法则limx趋向于0(1/sin^(2)x-1/x^2)洛必达法则limx趋向于0(1/sin^(2)x-1/x^2)洛必达法则lim(x->

limx趋向于0(1/sin^(2)x-1/x^2) 洛必达法则
limx趋向于0(1/sin^(2)x-1/x^2) 洛必达法则

limx趋向于0(1/sin^(2)x-1/x^2) 洛必达法则
lim(x->0)(1/(sinx)^2-1/x^2)
=lim(x->0)[x^2-(sinx)^2]/x^4
=lim(x->0)(x+sinx)/x*lim(x->0)(x-sinx)/x^3
=2lim(x->0)(1-cosx)/(3x^2)
=2/3*lim(x->0)1/2x^2/x^2
=1/3