lim x→0[(∫(x,0)(x-cost)dt)/x^3]=?

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lim x→0[(∫(x,0)(x-cost)dt)/x^3]=?
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lim x→0[(∫(x,0)(x-cost)dt)/x^3]=?
lim x→0[(∫(x,0)(x-cost)dt)/x^3]=?

lim x→0[(∫(x,0)(x-cost)dt)/x^3]=?
积分(∫(x,0)(x-cost)dt=(xt-sint)|(x,0)=x^2-sinx
再用罗比达法则 limx->0 (x^2-sinx)/x^3=limx->0(2x-cosx)/3x^2=∞

lim (x→0)x-sinx/x lim(x→0) xsinx lim(x→0) tanx/x= lim x→0 x/tanx lim(x→0)sinx/|x|rt lim(x →0)tan2x/x lim(x→0)(sin5x)/x=? 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-sin²3x)/x X→0,lim(sin1/x+cos1/x)^x lim(x→0)e^x-x-1/x^2 lim(x→0)[e^x-e^(2x)]/x lim xlnx (x->+0) lim (x->0) 3x/(sinx-x)