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清華大學(xué)微積分高等數(shù)學(xué)課件第12講泰勒公式的應(yīng)用-全文預(yù)覽

  

【正文】 ??121??2022/2/13 19 )1l n ()13()1(11l i m]5[ 3 20 xexxxxx ???????求極限例)(3111 323 2 xoxx ????[解 ] )(1 xoxe x ???利用皮亞諾型余項(xiàng)泰勒公式 23 203 20 )3(l n)1(11lim)1l n ()13()1(11limxexxxexx xxxxx ??????????????232310))(()(lim3ln1xxoxxxoxx?????3ln32)(l i m3ln1222320?????? xxoxx2022/2/13 20 )1l n ()13()1(11lim:][ 313 20 xexxxxx ???????將題目改為思考2313 20313 20 )3(l n)1(11lim)1l n ()13()1(11limxexxxexx xxxxx ??????????????23132310))(()(lim3ln1xxoxxxoxx?????0)(l i m3ln1220??? xxox2022/2/13 21 3313 20)1(11lim:][xexx xx?????將題目改為思考3313 20)1(11l i mxexx xx?????32033132310)(lim))(()(limxxoxxoxxxoxxx ???????做不出來(lái)了! 322213132310))(()(l i mxxoxxxxoxx??????61)(lim333610?????? xxoxx2022/2/13 22 .311)(,0,]6[階無(wú)窮小是對(duì)于時(shí)使當(dāng)確定常數(shù)例xbxaxexfxbax?????即要求根據(jù)題意 , 0)(lim30 ??? Axxfx[解 ] 時(shí)當(dāng) 0?x1)1)(1()( ????? bxaxexf x))(1)(1()(!31!21133322332xxbxbbxaxxxxx?????????????2022/2/13 23 22 )21()1()( xbabxbaxf ???????021012 ???????babba)0121)(lim(21,2130 ??????? ? xxfbax.)(,0,21
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