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1、习题 1-7 1(1)5)21413(lim)243(lim2121xxxx(2)93252lim35lim2222xxxx(3)01)3(3)3(lim13lim223223xxxx(4)01111lim11lim112lim11221xxxxxxxx(5)2)002(lim)112(lim)112(lim22xxxxx(6)4232242/1)3/(11/1/1lim13limxxxxxxxxxx000100lim/1)3/(11/1/1lim4232xx(7)321424lim12lim4586lim44224xxxxxxxxx(8)2123124lim2324lim202230xxxx
2、xxxxxx(9)xhxhxhxhh2)2(lim)(lim0220(10)2)1122(lim)12)(11(lim322xxxxxxx精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 1 页，共 5 页(11)xxxxeeeex1cos00coslim01lim0-xxxxxxxxxxeexeeeeeex故趋向于故趋向于，趋向于时，当(12)52334sin52334022xxxxxxx0s i n52334lim0/5/23/3/4lim52334lim2222xxxxxxxxxxxxxx故(13)448318(lim231lim323838x
3、xxxxxxxx23)8(1)8(824lim3144lim32383238xxxxx(14)016lim)22(222lim)2(2lim222322232xxxxxx(15)xxxxxxxxxxxx22221)1)(1(lim)1(lim精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 2 页，共 5 页2111)/1 (1lim1lim22xxxxxx(16)0arctanlim2arctanxxxxx，(17)1)(1()2)(1(lim)1311(lim2131xxxxxxxxx111121lim12lim2121xxxxx(18)5020
4、30502030)/12()/23()/12(lim)12()23() 12(limxxxxxxxx202050203050203023lim232lim)02()03()02(limxxx(19)11(lim22xxxxx11)11)(11(lim222222xxxxxxxxxxxxx2222/1/11/1/112lim112limxxxxxxxxxxx10010012limx2(1)515)/31)(/21)(/11(lim5)3)(2)(1(lim3nnnnnnnnn(2)1(lim/11/11lim) 1(lim11lim1)1(lim2nnnnnnnnnnnnn精选学习资料 - -
5、- - - - - - - 名师归纳总结 - - - - - - -第 3 页，共 5 页(3)21.21211(lim2nn2)21(2lim2/11)2/1(1lim1nnnn(4)2) 1(.321limnnn2121lim2/ )1(lim) 1(.321lim22nnnnnnnnnn32203)(lim110)(lim020xfxfxx，的极限不存在时故在，)(0)(lim)(lim00xfxxfxfxx211)(lim22/1)(lim211xfxfxx，的极限存在时故在，)(1)(lim)(lim11xfxxfxfxx441)(lim)(lim)()(lim) 1(xfxgxfx
6、gcxcxcx004)(lim)(lim)()(lim)4(414)(lim)(lim)()(lim)3(0140)(lim)(lim)(lim)()()(lim)2(xhxfxhxfxgxfxgxfxgxfxhxgxfxhcxcxcxcxcxcxcxcxcxcx精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 4 页，共 5 页01)(lim)(lim)()(lim)5(xhxgxhxgcxcxcx54)3(lim)2(lim32lim32323xkxxxkxxxxx.3032-30)2(lim)3(lim4)2(lim223323kkkxxxkxxxxx故，即61b-1)()1(lim)11(lim22xxbaxabaxxxxx111012)1(-1b-1)1(lim)11(lim1/1/1lim0b)/-1(/ )()1(lim0/1/1b)/-1(/ )()1(lim1b-1)()1(lim222222babxbxxbbxxxaxxxxbaaxxxxbaaxxbaxaxxxxxx综上所述，故代入得故精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 5 页，共 5 页
