第五天1.【答案】0【解析】000021lnlimln=limlimlim011xxxxxxxxxxx洛必达2.【答案】14【解析】2000001111211121+21limlimlim24111+111111lim=lim4441+11+1xxxxxxxxxxxxxxxxxxxxxxxxxx洛必达3.【答案】50【解析】212220011111001lim(100)lim(100)lim50txxtttxxxtttt4.【答案】65【解析】223523526limsinlim=53535xxxxxxxx等价替换5.【答案】2【解析】100000311limsinln1sinln1limsinln13sinln1ln13ln1ln13ln12cossinsinln13sinln122limlimln13ln13limlim1txxtttttxttxxtttttttttttt和差化积等价替换洛必达12+31tt6.【答案】43【解析】2222222222240002243300022001cossincossincoslim()=limlimsinsin11sin22sin42sin2cos242=limlimlim4422cos411cos41limlimlim1266xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx洛必达洛必达等价替换22014423xx7.【答案】12【解析】1222111limln1limln111ln111limlim22txxxxxxxtxttttttt洛必达8.【答案】16【解析】011limcot()sinxxxx20cos(sin)limsinxxxxxx300sinlimcoslimxxxxxx2001cossin1limlim366xxxxxx.(由重要极限0sinlim1xxx)9.【答案】32【解析】200111lim()=lim1(1)xxxxxxxxeexxe2201limxxxxex等价替换012lim2xxxex洛必达02lim2xxe洛必达2123.2