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

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

A:

Q: evaluate the limit.

A:

Q: 10x5/3 – x1/3 +8 - (c) lim x→00 x8/5 + 2x + 15/x Σ 10Va – 13x + 2 (d) lim x-0 5x + 15x2/3 Σ || – 12

A: We have to solve

Q: 46. lim 2x-3 47. lim x-4 3x'-5x +7 8+2x-5x x-2 48. lim 49. lim x+3 50. lim +2

A: 46.

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: -5x° + x* + 2 – 5x° + x* (a) lim 3x +4x' +1 6. 1/3 X. - (b) lim x>1 x² - 1

A:

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: x²-4 (b) lim 4-2 X+2

A: We have to evaluate the limit: blimx→-2x2-4x+2 After putting limit value we get that it is in the…

Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 16. lim (2 – 3x) = –4 x → 2 %3D - 19. lim (1-3-) -- 3 20. lim 2 = 7 x → 5 21. lim x2 – 2x – 8 = 6 x…

A:

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: -7; x<-3 { (x + 2)3 – 6; (x- 2)2 – 5; f (x) = -3 < x < 0 %3D x 2 0 1. lim f(x) = X→-3+ 2. lim f(x)…

A: Given: f(x) :  -7  ;  x ≤ -3 (x+2)3 - 6 ;  -3 &lt; x &lt; 0 ( x -2)2 - 5 ;  x ≥ 0

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: 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: 2x2 – 12x 1. lim 1-6 r2 +x - 42 3- V25- 2 2. lim 1--4 r+4 3. lim

A:

Q: (i)   Lim     x1/3  + 9x1/5          x→0    ____________                  6x 1/2 - 4x 1/4     (ii)…

A: i)  The given limit is in 0/0 form

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

A:

Q: (а) 5x-3 – 4 (i) Lim x-00 2x-2 + 9 (х — 3)2 (ii) Lim X→∞ X2 2 7- 2x – 3 2х —

A: That's easy. Have a great day!!!

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: find the one-sided limit.

A: Definition of the limits helps to find the required limit. If there is a plus sign over the point…

Q: 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…

A:

Q: x - 6x +5 8. lim X5 x- 5 (-5+h)' - 25 10. lim h-0

A: Given: To Find: Value of limit

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: 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: x-2x x (水) 3t-4 t- lim 4-t

A:

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: 17. lim (2x+1) = 5 x-2

A: I hope the question is to prove that the limit is equal to 5.  The answer is in step 2.

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

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Q: x°+4 lim 4 x+ 0x"+5 ||

A:

Q: х* — 2х lim 2 x→2 X х — 4 - 4

A:

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: 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 (4x – 7) 2. lim (x3- 2x² + x - 5) X-1 3. lim (x2 - x + 3)(2x – 1) X-2

A: 1. limx→04x-72. limx→1x3-2x2+x-53. limx→-2x2-x+32x-1 Note:     Multiple sub part are given, we are…

Q: 2x — х+3 lim 2 x→-∞ x - 2x+5 X-0 X

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: 19. lim x→2- x² – 4 eas y + 6 21. lim y→6+ y2 – 36 -

A: Given that limx→2- xx2-4 limx→6+y+6y2-36

Q: 1 4. lim 2t-1 t-

A: Note:- We will answer the 4th question since we answer only one question at a time. Please submit a…

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

A: Given: 1.limx→23x2.limx→22x+1-3

Q: 1) lim X-2n 2x-4n

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

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Q: (x-2)(x+4) 3. lim 2х-1 X-

A:

Q: Find the following limits algebrically.

A: Part(a)

Q: 3x-2x 7. lim- X0 x2-x 8. lim x→∞ x²(ex – 1)

A:

Q: x3 + 2x-3x-2 lim ど→0 -2x+1

A: limx→0x3+2x2-3x-2x2-2x+1

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.