x2 – 2 3. lim x→2+ [x – x | x2 + 2x 4. lim x→0 x2 2.x - x2 5. lim x→2 10x + 16 - x2 – x – 2 - -

Q: (2x – 5, x 2 0 lim h(x) = x→-4 where h(x) = x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4.001…

A:

Q: с — 2 а. x→0 x5 – 43 х — 2 lim- b. lim x→2 x5 - 4x3 х — 2 С. lim x→-2 x5 4x3

A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞

Q: (2+h)-8 lim h-0 x2-3x 5) lim X-3 x2-9

A:

Q: 1) lim (2x – 3) = 1 %3D x-2 2) lim|x| = 0 3) lim x2-9 6. х-з х-3 9 3

A:

Q: х2 +x — 2 Vx + 4 – 2 - - (а) lim x→-2 (b) lim x + 2 y y 2 1.00 1 0.75 0.50 -3 -2 - 1 1 2 3 -3 -4 -3…

A: (a)limx→-2x2+x-2x+2blimx→0x+4-2x

Q: 25-и-5 e. lim u-0 vi+u-1 f. lim (3x² + 1)-2 x--00 2x? g. lim X+0o x²+1 x3+x

A: To evaluate the limit: e). limu→025-u-51+u-1 It is 00 form. We will evaluate the limit using…

Q: Calculating LimitsFind the limits in Exercises 11–22.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2x2 – x – 3 (d) lim x→-1 x² + 5x + 4 2x – 8 (e) lim r→4 x2 – 8x + 16 x2 (f) lim r--2 2x + 4

A:

Q: Finding Limits #23 please

A: Given information:

Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

A:

Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…

A:

Q: 1. 2. 3. 2х-2 2x +2x-4 lim x →1 2x2+7x+5 lim x→1 vx²+3 –2 lim x →-1 х-1 x+1 4. 5. 6. 16(V1+x -1) lim…

A:

Q: 1. lim (x+5x2 – 7x + 1) x-2 ( x +4 if x<-1 if – 1<x <1 if x 21 8. lim f(x), where f (x) =3 2x + 1…

A:

Q: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+…

A:

Q: x2 + 7x - 44 lim x-4 x u) -6x+8 x2 -4 lim xl x v) - 3x+ 2 x - 5x+ 4 lim x-1 w) x- x² -4 lim x-2 x-2…

A: By bartleby rules, only first three subparts have been answered To evaluate limx→4x2+7x-44x2-6x+8…

Q: 1. lim (2x + 5) 2. lim (10 - 3x) X12 --7 3. lim(-x + 5x- 2) 4. lim (x- 2x + 4x + 8) ュー-2 5. lim 8(t-…

A:

Q: How to do a problem use Limits? Number 17

A: Here a function in variable x is given and we need to determine its value when x tends to . This is…

Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: /3x² – 3x + 1 lim 1– 2x x--00 V3 does not exist 3 2 -V3 ||

A:

Q: 2. lim V2x+1-V3 ズ→1 ズー1 0.9 0.99 0.999 1.001 1.01 1.1 f(x) V2x +1-V3 : lim ズ→1 x-1

A:

Q: (2) (6) xy-y-2x+2 lim (x,y) (1.1) x-1 2x-y-2 lim (xy)-(20) 2x-y-4 lim (x.y.x)-(3,4.1) (xyz) ¹√√x² +…

A:

Q: 3x2 (x- 1) .2, (а) lim I00 5x(2x2 +1) 2 - x3 (b) lim 1o x2 - 2x + 5 | x - 2 (c) lim x→-0 x4 –2x³ +1

A: As per Bartleby guidelines rule I am answering only first three questions. Evaluate:…

Q: 2 lim キx°- キx - しx* -I 3 x メ→ o -\x3+ キメ - 12

A:

Q: Q.1: Evaluate Vx+25 -5 х2-10х (1) lim (2) lim x-12 Vx+4 x (х+3) 2x2+3 x2-25 (3) lim (4) lim X-5 x-5…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: eim 2メー5 メ4 -2 z lim Vx+4-1-x-2 メ→ メ+3 lim 2-X Z-メ 24メ

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: x-2 j) lim -3x+2 3x+2x lim 0 x+4x k) x2 -3x+2 lim 2 x - 2x I) lim -x 1-x im m)

A: We will find the value of Given limit.

Q: 1. lim (1+ Vw)(2 – w² + 3w*) 12 – 1 - 1 2. lim t-1 12 + 4t + 3 3 2z - 2 3. lim 2+2 - 4

A: we have to evaluate the limits. (1) limw→1(1+w3)(2-w2+3w3)(2)  limt→-1t2-1t2+4t+3(3)…

Q: x2-x-2 2x-4 2sin(6x–12) 3(x-2) Sx-1 Let f(x)* ,g(x) • and h(x) Vz+2+1 a. Find lim f(x), lim g(x),…

A:

Q: 5. lim V2x +1 X-4 6. lim -) ズー1 x-1 CABA 3x+4 if x <-3 AT 7. lim f(x), where f(x) = 2-4 ifx2-3

A:

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: x2 -x-2 lim n) 2 x2- 2x X-2 x +5 lim X2 x-3 (o

A: according to a guideline we should have been able to do only one question at a time #n #o

Q: 8- 6- y = h(x) y = h(x) -4 -3 2 -2- 2. lim, h(x): 3. lim,→2- h(x): 4. lim,-2+ h(x): 5. limy-2 h(x):…

A: Find the following value from the graph:

Q: 3x²+2x+1 Q1: Using the L Hopital Rule Evaluate: lim x→0o 5x2+3x+3

A: Given: limx→∞3x2+2x+15x2+3x+3  ……1

Q: lim = e7x- e6x/ex-1 x>0

A:

Q: Evaluate r3+3r2+3r+1 lim f. lim a. r--1 r+1 X+o x+1 e+x? 1-cos? 2x b. lim X-4 -3x+4x2 g. lim- 3x…

A:

Q: (1) x3 – - 13x + 12 5- V4 + 3x lim lim x-3 x3-14x + 15 (3) 7- x x-7 2x*- 6x3 + x2 +3 2x2 - 3x lim…

A:

Q: 1. lim (2r + 5) 2. lim (10 3x) X12 3. lim(-x + 5xr 2) 4. im (x'-2r? + 4x + 8) 5. lim 8(t - 5)(t-7)…

A:

Q: 1. 3. 8x lim *0 5 х— 7 4х+1 lim 3 2 +2 x +x+ 27 lim 2 X-7 X-0 2 X - 4

A:

Q: 3 a. lim うルーフ4 4- 1し 5- J3c+9 2-Jつい 5. しim うしー72 ル+2-Vt4んt4 C. Lim 2021+リ-26 ルーフ 20t ーて

A:

Q: 1. lim (x2 + 2x -3) オ→4 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x) lim (x2 + 2x - 3) D Xー→4

A:

Q: (1) lim t2 (2) lim x0 Vx2 +3 2x + 1 -1 x00 7 - t2 x2 1 (4) lim 3t2 n2 (6) lim x0 Vn3 + 2n 5t (3) lim…

A:

Q: x +x+2 1. lim 2 x→3* x - 2x–3 V 2. lim x→2* x-2 x² – 4 H-4 3. lim x→4 x-4 1 4. lim x+5* x - 5 x- 2…

A:

Q: The process by which we determine limits of rational functions applies equally well to ratios…

A: Note: Since you have posted multiple questions we will solve only the first question (question 23)…

Q: x²-2x-35 3. f(x) = x+5 -5.1 2.1 -5.001 -5 -4.999 -4.99 -4.9 х f(x) lim f(x) = %3D x--5

A:

Q: V4-4x+x' 18. lim x-2 19. lim 4+1-V4-t x-1 20. lim Vx+3-2 7+31 21. lim (t+2)-(1-2)

A:

Q: h +2h (d) lim 3h -h' +5x+4 (e) lim x' +x-12 -3x +5x+4 lim 4x +x-12

A:

Q: x+ 3 20. lim x-3 x + 4x +3 x²-7x + 10 22. lim x2 x-2 ? + 3t + 2 24. lim 7-1-2 Sy + 8y2 26. lim y0 3y…

A: Note: according to our guidelines we can answer only first question because there are multiple…

Q: Find the following limits algebrically.

A: Part(a)

Q: Answer 21-24

A: As per guidelines we have to solve 21