Limites De Calculo 1

1.- limx→52x+4=
limx→52x+limx→54
25+4=14

2.-limx→2(10-x2)
limx→210-limx→2(x)2
10-(2)2
10-4=6
3.-limx→-2(4x+7)
limx→-24x+limx→-27
4-2+7=
-8+7=-1
4.-limy→-1(y3-2y2+3y-4)=limy→-1y3-limy→-1-2y2+limy→-13y-limy→-14
=(-1)3-2(-1)2+3-1-4
=-1-2-3-4= -10
5.-limz→-3(2z3+z2+5z-2)
limz→-32z3+limz→-3z2+limz→-35z-limz→-3-2
=2(-3)3+(-3)2+5-3-2
=-54+9±15-2=-62
6.-limy→2y2-2y-1)limy→2y2-limy→22y-limy→2-1
=(2)2-22-1
=4-4-1= -1

7.- limx→12x-36x+1
limx→1limx→12x-limx→1-3limx→16x+limx→1+1
21-361+1=-17=-0.1428
8.-limt→2t2-52t3+6
limt→2t2-limt→2-5limt→22t3+limt→26
(2)2-52(2)3+6
=4-58+6=-122=0.04
9.-limx→-1x2-1x+1
(-1)2-1-1+2=00
(-1)2-1-1+1=1-1-1+1=00
10.-limx→12x-14x2-1
limx→12x-limx→1-1limx→14x-limx→1-1
21-14(1)2-1=13=0.333
a)limx→2x-2x2-4limx→2x-limx→22limx→2(x)2-limx→24
2-2(2)2-4 =00
(x2-4)=x+2x-2=x2-2x+2x-4=x2-4
limx→2(x-2)x+2(x-2)
limx→21x+2=limx→21limx→2x+limx→22=14=0.25
b)limx→-39-x23+x
limx→-39-limx→-3x2limx→-33+limx→-3x=9-(-3)23+(-3)=
9-93-3=009-x2=3+x3-x=9-3x+3x-x2=
limx→-33+x(3-x)(3+x)=limx→-33-x=
limx→-33-limx→-3x=3--3=3+3=6
c)limx→3y2-y-6y2-4y+3=
limx→3(y)2-limx→3y-limx→36limy→3(y)2-limy→34y+limy→33=
(3)2-3-6(3)2-43+3=9-3-69-12+3=00y2-y-6=y+2y-3=y2-3y+2y-6=y2-y-6
y2-4y+3=y-1y-3=y2-3y-y+3=y2-4y+3
limy→3y+2(y-3)y-1(y-3)=limy→3y+2y-1
limy→3y+limy→32limy→3y-limy→31=3+23-1=52=2.51.-limx→43X2-17X+204x2-25x+36=limx→43(x)2-limx→417x+limx→420limx→44(x)2-limx→425x+limx→436
=3(4)2-174+204(4)2-254+36=48-68+2064-100+36=00
3x2-17x+20=x-43x-5=3x2-5x-12x+20=
3x2-17x+20
4x2-25x+36=x-44x-9=
4x2-9x-16x+36=4x2-25x+36limx→4x-4(3x-5)x-4(4x-9)=limx→43x-54x-9
limx→43x-limx→5limx→44x-limx→49=34-544-9=12-516-9=77=1
2.- limx→52x2-9x-54x2-23x+15=
limx→52(x)2-limx→59x-limx→55limx→54(x)2-limx→523x+limx→515=2(5)2-95-54(5)2-235+15=50-45-5100-115+15=00
2x2-9x-5=x-52x+1=2x2+x-10x-5=
2x2-9x-5
4x2-23x+15=x-54x-3=4x2-3x-20x+15=
4x2-23x+15
limx→5x-5(2x+1)x-5(4x-3)=limx→52x+14x-3=limx→52x+limx→51limx→54x-limx→53...