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高等數(shù)學(xué)11-4ppt29)-經(jīng)營管理(編輯修改稿)

2025-06-20 20:24 本頁面
 

【文章內(nèi)容簡介】 ,0( ??n?)()( xf n且 )2s in( ?? nx 1? ),( ?????x?? ??????????)!12()1(!51!31s in 1253nxxxxx nn),( ?????x例 3 .)()1()( 的冪級(jí)數(shù)展開成將 xRxxf ??? ??解 ,)1)(1()1()()( nn xnxf ?????????? ??),1()1()0()( ??????? nf n ?),2,1,0( ??n??? ??????????????? nxn nxx ! )1()1(!2 )1(1 2nnn aa 1lim ???? 1lim ????? nnn? ,1? ,1?? R若內(nèi)在 ,)1,1( ???? ???????????? nxn nxxs ! )1()1(1)(??? ?? ??????????????? ? 1)!1( )1()1()1()( nxn nxxs??? ?? ????????? nxn nxxxsx )!1( )1()1()1()( 2 ??????!)1()1(!)()1()!1()1()1(nnmmmnnmmnnmm ??????????? ???利用)()1( xsx ?????? ????????????????? ? 1222!)1()1(!2)1( nxnnxx)( xs??,1)( )( xxs xs ???? ? .1)0( ?s且兩邊積分 ,1)( )(00 dxxdxxsxs xx ?????? )1,1(??x得 ),1l n()0(ln)(ln xsxs ????即 ,)1l n ()(ln ??? xxs,)1()( ?xxs ???)1,1(??x??? ?????????????????? ?nxnnxxx!)1()1(!2)1(1)1(2)1,1(??x牛頓二項(xiàng)式展開式 注意 : .1 的取值有關(guān)處收斂性與在 ???x)。1,1(1 ???? 收斂區(qū)間為]。1,1(11 ????? 收斂區(qū)間為].1,1[1 ??? 收斂區(qū)間為有時(shí)當(dāng) ,21,1 ????)1,1()1(11 1 32 ?????????? ?? nn xxxxx]1,1[!)!2(!)!32()1(642314212111 32??????????????? ?? nn xnnxxxx]1,1(!)!2(!)!12()1(642531423121111 32???????????
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