秋電大高等數(shù)學(xué)基礎(chǔ)形成性考核冊答案

1、高等數(shù)學(xué)基礎(chǔ)作業(yè)1第1章函數(shù)第2章極限與連續(xù)（一）單項選擇題⒈下列各函數(shù)對中，（C）中的兩個函數(shù)相等A.，B.，2)()(xxf?xxg?)(2)(xxf?xxg?)(C.，D.，3ln)(xxf?xxgln3)(?1)(??xxf11)(2???xxxg⒉設(shè)函數(shù)的定義域為，則函數(shù)的圖形關(guān)于（C）對稱)(xf)(????)()(xfxf??A.坐標(biāo)原點B.軸xC.軸D.yxy?⒊下列函數(shù)中為奇函數(shù)是（B）A.B.)1ln(2xy??xx

2、ycos?C.D.2xxaay???)1ln(xy??⒋下列函數(shù)中為基本初等函數(shù)是（C）A.B.1??xyxy??C.D.2xy????????0101xxy⒌下列極限存計算不正確的是（D）A.B.12lim22????xxx0)1ln(lim0???xxC.D.0sinlim???xxx01sinlim???xxx⒍當(dāng)時，變量（C）是無窮小量0?xA.B.xxsinx1C.D.xx1sin2)ln(?x⒎若函數(shù)在點滿足（A），則在點連

3、續(xù)。)(xf0x)(xf0xA.B.在點的某個鄰域內(nèi)有定義)()(lim00xfxfxx??)(xf0xC.D.)()(lim00xfxfxx???)(lim)(lim00xfxfxxxx?????（二）填空題⒈函數(shù)的定義域是)1ln(39)(2xxxxf???????|3xx?⒉已知函數(shù)，則x2xxxxf???2)1(?)(xf⒊????xxx)211(lim解：＝000sin3sin33sin3333limlimlimsin2sin

4、2sin22222xxxxxxxxxxxxxxx????????133122??⒌求)1sin(1lim21????xxx解：21111(1)(1)111limlimlim2sin(1)sin(1)sin(1)11xxxxxxxxxxx?????????????????????⒍求xxx3tanlim0?解：000tan3sin31sin311limlimlim3133cos33cos31xxxxxxxxxxx???????????A⒎

5、求xxxsin11lim20???解：22222200011(11)(11)limlimlimsin(11)sin(11)sinxxxxxxxxxxxx?????????????????020lim0sin111(11)xxxxx????????⒏求xxxx)31(lim????解：1143331111(1)[(1)]1lim()lim()limlim33311(1)[(1)]3xxxxxxxxxxxexxxexexxx????????

6、??????????????????⒐求4586lim224?????xxxxx解：????????2244442682422limlimlim54411413xxxxxxxxxxxxx???????????????????⒑設(shè)函數(shù)??????????????11111)2()(2xxxxxxxf討論的連續(xù)性，并寫出其連續(xù)區(qū)間)(xf解：分別對分段點處討論連續(xù)性11xx???（1）??????1111limlim1limlim1110x