Calculo

1. TAREA 2.1. CALCULO DIFERENCIAL
1.-Calcular los siguientes limites

TAREA 2.1. CALCULO DIFERENCIAL
1.-Calcular los siguientes limites-limx→33+13+4=limx→347
2. -limx→22-xx2+2x+4=limx→22-222+22+4=limx→20
3. -limn→442-444=limn→416-442=limn→4128
4.limx→2x2-1x-4=limx→2x2-1x-4=limx→222-12-4=limx→2-32
5.-limx→2x+2x=limx→2x1+22=x2+2xx=limx→2x+2xx=limx→22+2
6.-limx→154x+1=limx→15415+1=limx→15416=limx→15 2
7.-limx→2x-1-x+4=limx→22-1-2+4=lim 12⁡x→28.limx→-2x+1x+4=limx→-2-2+1-2+4=limx→-232
9.-limx→2x+24=limx→2 2+24=limx→244=limx→2 1
10.-limx→16x-1x+4=limx→16 16-116+4=limx→1638
2.-Calcular los siguienteslimites
2.-Calcular los siguientes limites

1.limx→-2x+2x2-4=limx→-2 x+2x+2x-2=limx→-21x-2=limx→-21-2-2=limx→-2-142.-limx→1x-12-xx2-1=limx→1x-12-xx-1x+1=lim2-xx+1x→1=limx→1 12
3.-limx→5x-1-2x-5=limx→5x-1-2x-5 °x-1+2x-1+2=limx→5x-12-22x-5x-1=limx→5x-1-4x-5x-1=limx→5x-5x-5x-1=limx→51x-1=limx→515-1=limx→5124.limx→031+x-31-xx=limx→031+x-31-xx°31+x+31-x31+x+31-x=limx→031-x2-31-x2x31+x31-x=limx→01+x-1-xx31+x+31-x incompleto5.-limx→-2x3+3x2+2xx2-x-6=limx→-2xx2+3x+2x-3x+2=limx→-2xx+1x+2x-3x+2=limx→-2xx+1x-3=limx→-2-2-2+1-2-3=limx→-2-25
6.-limx→1x3+x2-2x3-x2-x+1=limx→1x-1x2+2x+2x-1x-1x+1=limx→1x2+2x+2x-1x+1 incompleto7.-limx→ax-b-a-bx2-a2=limx→ax-b-a-bx2-a2°x-b+a-bx-b+a-b=limx→ax-b2-a-b2x-ax+ax-b+a-b=limx→ax-b-a+bx-ax+ax-b+a-b=limx→ax-ax-ax+ax-b+a-b=limx→a1a+a2a-b=limx→a12a2a-b°2a-b2a-b=limx→a2a-b2a2a-b2=limx→a2a-b2a2a-b=limx→a2a-b2a2a-2b=limx→aa-ba2a-2b=limx→aa-b2a2-2ab=limx→aa-b2a2a2-2ab=limx→aa-ba-b