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1、实验二:极限与持续第一题:数列极限In1fn_:=Sum1/j,j,1,n; x=Talefn,10,n,30Out1= 1,1,1.,1.,.,.,1.,1,1.,1.,1.,119886,1,.,1.,1.229,1.2580,1.9048,1.4842,1784,1.782,69736,1.51926,1.24264,1.88264,1.45159,.955,1.458,1.2521,.195In2=ListPt,ttylePointiz0.02Ot2= Graphic第二题:递归数列In3=learf; 1=1; fn_:fn=N(f-1+3/fn-),20; fTablfn,n,0O
2、ut= ,2.0000,00,1.32129,12545,1.877253,1.872,1.877935,1.8772935,1.729,1.8735,187295,87295,18772935,1.723,1.87235,1.877295,7293,1.8793,1.72935,1.82935,187293,1.87725,1.8772935,1.72935,1.877235,1.877935,772935,187935,1.87935In4= Litfn,PltStointSe002Ot= Grahc第三题:多次自复合I5=PltSin,NstSin,5,esSn,x,10,NesSin,
3、x,30,x,-2Pi,2Pi,PotStleRGBCoor0,0,1,Rolr1,1,0,RGBCor1,0,0,RBClor0,1,0Ou5= GapiIn6 Clarf; fn_:=fn=Nestn,3,; fnTablefn,0,30Out6=0.1418,0.,0,0.,0.,0,0.,0.,0.,0,0.,0.,0.,0,0.,0.,0.,.,0,0.,0.,0.,.,0,0.,0.,0.,0.,0.In7= LitPlotfn,lotylePointSz0.0Out7 Gaphcs第四题:计算极限(1):In8=Limitx*Snx+(1/x)*Sinx,x0Ot8=1(2)In
4、9 Liit(x)E2,xInfinity,irecton-Out9 (3)I10= Limt(Tanx-ix)/x3,0ut10 (4)In11= Limixx,x,iection-1Ou11=(5)I1= LimtLogotxox,x,irction-1Out12 1(6)In1=Liitox,x,Dirciout13=0(7)In4=Limitx2Logx,x0,iectin-Out1=()n15=iit(Sinx/)(1/(1-Cox)),xOt10(9)In16=Lmit(-E(-x)2x)/(xix),0Ou16=第五题:讨论极限In17=lotaatableoxn,n,,30,x,Pi,3i,Pltage1.2,1.2Out7GphisIn18= 1; Limiosn,nInfnitut8= 0