3x2(x – 1) (a) lim 1→∞ 5x(2x2 + 1) 2 – x3 (b) lim 2x + 5 (c) 1→-0 x4 – 2x³ + 1 2x2 (d) lim lim r--1 x2 + 5x + 4 2x – 8 (e) lim I→4 r2 8x + 16 (f) lim I→-2 2x + 4

Q: x²-2x-3 lim a. (x-3)3 2-2r-3 x-3 (x-3)' x² - 2x-3 b. lim x² - 2x-3 lim 33 (x-3)3 c.

A: x→3+ limx2-2x-3(x-3)3=x→3+lim(x-3)(x+1)(x-3)3=x→3+limx+1(x-3)2=∞

Q: lim 4. 3- a2 - 6r + 9 5. lim 3+ a2 - 6r + 9 6. lim 3 a2-6x + 9

A:

Q: Find the limits in Exercise

A: (a) Given that, limx→-2+x2-12x+4

Q: 7. lim -3 x-9 x-9 (1+h)²-1² 8. lim h-0 h Final Answer: Final Answer: 9. lim -2r-15 (Зх-2)2- (х+2)2…

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

Q: (x² – x – 2)(2x +3). Vx² +5-V3x +3 6. lim =... .2 x2

A:

Q: Lim    4 - x2      x →2   x + 3 (b). Lim   4 - x2      x →2   x - 2 (c). Lim   1 + 8x + 6x3      x…

A:

Q: Limits of quotients Find the limits in Exercises 23–42.

A: 23)  Given  Here factors of denominator is x2 -25 = (x-5) (x+5)  Cancel out the (x-5) factor  Now…

Q: Lim x→∞  5x-3 − 4 / 2x-2 + 9 (ii) Lim x→∞ (x - 3)2 / x2/2 - 2x -3

A: Given limit   limx→∞ 5x-3-42x-2+9=limx→∞ 5x3-42x2+9=0-40+9=-49Therefore ,limx→∞ 5x3-42x-2+9=-49

Q: x-2 2. lim X+2 x-8 2x + 5x -3 x-16 1. lim 3. lim 16 Vx -4 6x² - 7x+2

A:

Q: x2+4-2 -6x*+x2+1 (2) limx-0 (3) limx-0 x2 2x4-x

A: we have to find the limit of the following

Q: 3. lim- 2x+ 4 3 X→- X-4 4. lim x→2 x2-6x+8

A:

Q: x²-1 7. lim x→4 V4x 1 1 8. lim 3 x-3 x-3

A:

Q: lim 5x +2 1. -1 lim 3x2 – 6x +1 2. +4 lim vx 3. *+2 3. m vx2- 5x + 7

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

Q: 1. lim 13m45 – 6m12 + 100m - 42 x2 - x-6 2. lim I-2 x2 – 2 6 - x + 3x2 3. lim 2л - 4

A: 1. limm→∞13m45-6m12+100m-422. limx→-2x2-x-6x2-23. limx→-∞6-x+3x22x-4 Note:   There are multiple…

Q: lim 7-4x-x4 2(x-2) lim 2x+1 人Y8 lim (Jx4-2x)

A:

Q: 5x-3 – 4 (i) Lim- x-00 2x-2 + 9 (х - 3)2 (ii) Lim X-00 X4 2 7 2x – 3

A:

Q: lim (25-x2 X-D4 lim ( 3x -2) X-D3 lim (ax2 +4x+5) X-DO X+1

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: Lim x->4 (x2-3x-4)/ (x-4)

A:

Q: x² + x – 6 - f. lim "3 x² – 9 /x + 1 – 2 g. lim х — 3 * 3 x - 8 h. lim * 2 2 x- 2 3x2 + 5x - 2 i.…

A: Given tha

Q: 4x - 3z2 - 8æ 423 1. lim 2-00 4 - 8r – 3x3 3a?-8x 4x - 3z2-8a 423 2. lim I-00 4 - 8x – 3r3

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: 5 - 2x + x² 3. lim 1 - 4x 1 - 6x 4. lim x→-o 4x2 – 4x + 1

A: To evaluate the limits for the given functions . Here we will use the following limit formulas-…

Q: (a) lim *²+3x 6x-18 x²-5x x2+5x+4 (b) lim x-3 x-3 (c) lim x-0 (d) lim ズ→ー4 x+4 x2-7x+6 (e) lim x+8…

A:

Q: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

A:

Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital…

Q: '2x2 -9х-5 1 (i) lim х—5 \x2-9х+20 2x) 5-Vx+9 lim х+16 х-v256 (ii)

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: (а) 5x-3 – 4 (i) Lim x-00 2x-2 + 9 (х— 3)2 (ii) Lim X00 x2 7- 2x – 3 2 - 2х

A:

Q: x² 4x + 5 lim 3x а. x+5 lim b. x+7 x² - 49 x - 7 lim С. x² - 3x + 2 2 - 4

A:

Q: X. lim (3x – x -3 - 2) (2x² +4x+5) K. lim x+1 2x2+2x-4 Z. lim x-1 x-1 a. lim (+3) а. N. lim – (-16)

A: We will find the limits as shown below

Q: x² + 8x - 9 x1 x³2x² - 5x + 6 t³7t² + 16t - 12 t4 - 4t³+ 4t² 4. lim 5. lim t-2

A:

Q: 5. 6. 7. 8. √√x-1 lim- x-1 x-1 x³-x²-x+10 lim X4-2 x²+3x+2 2x²-x-3 lim x-1x³ + 2x² + 6x +5 lim…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 1. lim x +2x2 + 3x +7 X-3 2. lim (7-8x) (9x-11) x+2 3. lim 3x2 - Vã + 4x + 27 X-8

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: x3 + 2x2 – 7x 7. lim X1 X -3 x³ + 2x + x .2 8. iim 2 x - x - 3 .2 x3 + 2x + x 9. lim х-3 2х2 — 2х —…

A:

Q: lim                     (1 + 2x)1/2lnx x -> infinity

A: In the question we have to find the answer of the limit.

Q: -3x + 4 a) lim x-2- x2 - 4 x2 b) lim x-3* x2 + 2x – 15 2x4 + 5x3 - 2х- 3 9x + 10 c) lim 5x7 + 2x6 –…

A: a) limx→2--3x+4x2-4=-3(2)+422-4=-6+44-4=-20=-∞limx→2--3x+4x2-4=-∞

Q: 12 -9 V5r2 – 21 (а) lim I+3 1 + 2x – 15 (b) lim 10-т

A: We need to find following limits which can be calculated by simplifying the expressions and then…

Q: x2-9x+20 d. lim x-4 x2-3x-4 e. lim +2)2-4 X-0 3x2-x-10 f. lim- x-2 x2+5x-14

A:

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: (а) 5x-3 – 4 (i) Lim- x-00 2x-2 +9 (х— 3)2 (ii) Lim X-00 X T- 2x – 3

A:

Q: lim 2x² (x+1) a. b. lim 3(2x+1)* 2'-2r+5x-1 c. lim 2x-3x+1

A: In this question, we find the limit at negative infinity for each of the given functions.

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: (а) 5x-3 – 4 (i) Lim X-0 2x-2 + 9 (х — 3)2 (ii) Lim 7- 2x -3 2х — 3

A: to solve the limit proceed as follows…

Q: 5x-3 – 4 (i) Lim: X-00 2x-2 + 9 (x – 3)2 (ii) Lim - 2x- 3 2

A: (i)

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: 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: Find the following limits algebrically.

A: Part(a)

Q: Answer 21-24

A: As per guidelines we have to solve 21