limx趋近于-0∫0√x sin(x^2)dx/√(x^3)

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limx趋近于-0∫0√x sin(x^2)dx/√(x^3)
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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)
原式=lim(x->0-)[(sinx/(2√x))/(3√x/2)] (0/0型极限,应用罗比达法则)
=lim(x->0-)[(1/3)(sinx/x)]
=(1/3)lim(x->0-)(sinx/x)
=(1/3)*1 (应用重要极限lim(z->0)(sinz/z)=1)
=1/3

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) limx趋近于0sin(1/x)/(1/x) limx趋近于0 (tanx-sinx)/sin^3x limx趋近于0y趋近于0sin(xy)/x求极限. limx趋近于0sin3x/2x limx趋近于0 tan2x分之x limx趋近于0lnsinx/x limx趋近于0x分之tan2x limx趋近于0x乘cot3x limx趋近于0 sin(x+1)-sin(1-x)/x= 求问 limx*sin(1/x) 当x趋近于0 limx趋近于0x^(x^x-1)的极限 极限limx趋近于0 (sin(sinx)-sinx)/x^3怎么求? limx趋近于0时,sin(sinx）/x的极限 limx趋近于a,siinx-sina／sin(x-a),(a≠0)等于多少? 证明x趋近于0+ limx[1/x]=1 limx趋近于0(sinx/x)^(1/x^2)