作业帮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=∞
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