-10x lim x0o 12 + 2x 2x – 6 lim x-0 x3 + 2x – 11 x2 – 14x – 6 lim 7 – 9x2 - x² + 8x lim 9x Vx2 + 8x lim %3D x -00 6 – 9x

Q: 81 5x³ + 2x + 7 lim In x³ -11x2 + 55x + 10 (3)A (8+()+ s)l

A:

Q: 2x*-3x+2x2-x+1 lim -6x-x2+x+2 1 3 O O

A:

Q: Find the limit.

A: Given limit, limx→5 2x2-x+4x-1

Q: 2x2 – 9x + 7 lim х — 1 c2 lim х-2 х — 2 2x2 — 5х — 3 lim x→3 Vx + 6 – 3 – 4 x→1

A: a) Factor the numerator then simplify.

Q: V9x* +1 lim .2 x→∞ x² – 3x+5 4 is (A) 1 (B) 3 (C) 9 (D) nonexistent

A:

Q: (Vx-5 1. lim () x25 \x-25, x3+3x2+10x+104 2. lim X4 x2-12

A: Given: 1.  limx→25x-5x-252.  limx→4x3+3x2+10x+104x2-12

Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

Q: 4x3 + 6x² – 2 18. lim x→-o 2x3 – 4x +5 x2 22. lim xH0 Vx4 x+ 3x2 26. lim хн00 4x — 1

A:

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

A:

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: С. 6x° – 12x +13x³ - 5x +7 1. lim 14x7 -13x +1 1x³ + 4x? – 6 15x8 – 13x +9x6 – 5x³ + 4 - 2. lim 13x°…

A: 1.  Given: To evaluate the given infinite limitslimx→∞ 6x8-12x5+13x3-5x+714x7-13x4+11x3+4x2-6=limx→∞…

Q: 4 2 . 02- 9f 2xS 9x) s X-X+2 lim

A: Given: 2x≤gx≤x4-x2+2

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: 2x-x +5x-1ulav ad li eno lim- a) 5x-2x+8 x²- 2x+1 b) lim エートーの x' -3 de or owa oleM of x*-2x+97 lim…

A:

Q: 1. 8x – 27 lim x 2x- 3

A: Here we have to evaluate the following limits,  1)

Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

A:

Q: EXERCISE 4. Evaluate the following using Rationalization Method. Show your solution. Vx² + 7 – 3 lim…

A: Given  The limits are 1.  limx→3x2+7-3x+32.  limx→0x+1-1x

Q: 4x2 - 2x + 6 lim 2-400 -6x4 + 8r³ + x² + 7x + 4

A: Divide by x^4 by in both numerator and denominator

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: ■ Find the limit.

A: Evaluate limx→∞3x-22x+1

Q: /2x + 8 - 4 (V2x + 8 – 4)(V2x+ 8 +4) x² - 16 (x2 – 16) (V2x + 8 +4) (x + 4) (V2x +8 + 4) 2 lim x-4…

A: Given query is to show how we got 2 in the following step.

Q: lim (4t – 2at + 3a) →-1

A: We plug t=-1

Q: 4x +4 lim (2,y) (-1,2)` x² + 3xy – 3y2 + 3xy - 3y2

A:

Q: x-2 lim 3x+5+2x' +2*

A:

Q: limy- 3 3+ 3x – 18x 2 x-9

A:

Q: 2x2 – (3x + 1)Vx + 2 lim x-1 x - 1

A:

Q: 4x 2-7 x-2 lim 3 x 2-x-9 X00 Worksheet

A: SOLUTION-

Q: x² + 8x – 9 4. lim z-1 r3 – 2x2 – 5x + 6 t3 – 7t? + 16t – 12 - 5. lim t→2 t4 – 4t3 + 4t² |

A: Given: 4.limx→1x2+8x-9x3-2x2-5x+6

Q: – 5x I lim 2x(1–5x) 7x² +3

A:

Q: 5x+4x lim X0 x2-2x 2 O5 O-2

A:

Q: 4x2+11х-3 (i) lim x→-3 9—х2 (ii) lim 2 -1 *-4 х36 6-х Vx2+9-V2x2+9 (iii) lim х-0 VЗx2+4-V2х2+4

A: We will solve the following

Q: 8. lim (2x – V9x² + x + 5 n-+00

A: limx→∞2x-9x2+x+5

Q: 2. 3X+ 15X +18 lim X→-2 X2+X-2

A: Given that limx→-23x2+15x+18x2+x-2…

Q: 4x 5e2* – 3e 6e2* + 2e 2. lim -4x x-00

A:

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: x + x² – 6 lim 6x + 5x2 + 2x3 x--0o

A: The given expression is limx→-∞x+x2-66x+5x2+2x3

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: х4 + 5x3 + 6х2 (c) limx→-2 x2 (x + 1) – 4(x + 1) 3 (d) limx→-3 |x + 1| + Vx +1- 2 (e) limx→3 х2 — 9

A: In the given problem, we have three different limit functions. We have to evaluate these functions…

Q: 1. lim(10 – 3x + 4x²) = ズ→4

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2x° – 3x"–21 Il -21 lim 13x-4x°+2x

A:

Q: 1. lim Vx2 - 4 x-2+ 2. lim x(5 – x) X-5 4x 3. lim x4+Vx-4

A: This is the problem related to limit. In all the subparts limits are given is right hand side limit.…

Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

A: Given statement, The limit of a function is the value it approaches as the value of x approaches a…

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

A:

Q: 1. lim(2x + 4) x-3

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any…

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: lim 2V3. +onx 2cosx+1 %3D 6.

A: Our Aim is to evaluate limx→π623×tanx2 cosx+1 -(i)

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

A:

Q: 5x+4 lim X=-0 V9x2 –1 X =00

A: Consider the limit: limx→-∞5x+49x2-1 Expand the fraction:…

Q: C. lim (4x xx-√16x² + 3x - 5) X→∞

A: Given limits, (c) limx→∞4x-16x2+3x-5 (d) limx→03x-7x2x-15x We have to find the Limit of the given…