limx趋近于-0∫0√x sin(x^2)dx/√(x^3)

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limx趋近于-0∫0√xsin(x^2)dx/√(x^3)limx趋近于-0∫0√xsin(x^2)dx/√(x^3)limx趋近于-0∫0√xsin(x^2)dx/√(x^3)0/0型,洛必达法则

limx趋近于-0∫0√x sin(x^2)dx/√(x^3)
limx趋近于-0∫0√x sin(x^2)dx/√(x^3)

limx趋近于-0∫0√x sin(x^2)dx/√(x^3)
0/0型,洛必达法则
lim (sinx)*(1/2)x^(-1/2) / [(3/2)x^(1/2)]
=lim (sinx)*(1/2) / [(3/2)x]
=(1/2) / (3/2)
=1/3