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  • What value does lnx/(x-1) approach as x approaches 1

    What value does lnx/(x-1) approach as x approaches 1
    What value does lnx/(x-1) approach as x approaches 1
    數(shù)學(xué)人氣:699 ℃時(shí)間:2020-05-12 06:38:53
    優(yōu)質(zhì)解答
    lim (x趨于1) lnx/(x-1)
    當(dāng)x趨于1時(shí),分子lnx,分母x-1均趨于0
    應(yīng)用洛必達(dá)法則:分子分母同時(shí)求導(dǎo):
    lim (x趨于1) lnx/(x-1)
    =lim (lnx)'/(x-1)'
    =lim(1/x)/1
    =1/1
    =1
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