微积分极限与连续测试题CalculusLimitandContinuityQuiz

1.221(x)4xfxa)Findthehorizontaltangentifexists.b)Findtheverticaltangentifexists2.Findthelimit.21lim5xxxx3.Findthelimit.22lim|2|xxx4.Findtheslopeofthetangentlinetocurve32yxxatx=2.5.Determinewherefisdiscontinuous.20()30333xifxfxxifxxifx6.a)Determinewherethelimitdoesn’texistb)Determinewheref(x)isdiscontinuous,andwhichtypeofdiscontinuityitis7.Findtheslopeoftangenttothefunctionatx=1.25314)(xxxf