B. Factoring method 1. Lim x-3/x2-18x+45; x= 3 2. Lim x2-64/x+8 ;x= -8 3. Lim x2+8x+16 ;x-1

Q: 2) Lim 나-13 X+ 1 x=7x+10

A:

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: -4 lim x2 2-x-2

A: option (d) is correct

Q: (a) 5x-3 - 4. (i) Lim x-0 2x-2 +9 (х — 3)2 (ii) Lim X-00 x2 — 2х-3

A: To find the limits

Q: (a) (b) 2x3/2 7x² 2 7x + 9 lim x-00 lim x→ 2x3/2 3/2 +9 2x3/2 lim x+00 7√x + 9 7x 11

A: We know that when x tends to ∞, 1x tends to 0.

Q: lim, 6 8(x – 5)(x – 7) Answer: -8 4x2-9 lim3/2 2x+3 Answer: 0

A: The value of the given limits are –8 and 0 respectively.

Q: 4x5+x³ -10 -? lim х-0о —7х5+x2+20 .3

A: Given: limx→∞4x5+x3-10-7x5+x2+20

Q: 2+3x – 5x2 3, 23. lim X +∞ 1+8x2

A:

Q: x² -4x-21 iii. lim x² -9 ? -9

A: As per our guidelines, we are allowed to answer only one question at a time. So, please re post the…

Q: What is the 2x - 6 lim x2- x2-4 - 00 00 2/3 8.

A:

Q: lim,→4(x2 – 2x) = 8

A: Given: limx→4x2-2x=8 To Prove: The above limit using ε, δ definition.

Q: Find the limit

A: Given, limx→212x+33

Q: x2-2 -limx- 2x+3x-7

A: limx→∞x2-22x3+3x2-7

Q: limits

A: Given,

Q: evaluate   lim       squareroot(2(x+h)2-3(x+h)-4   -  squareroot(2x2-3x-4)…

A: To determine the given limit . Note that it is the derivative of the function (2x^2-3x-4)^0.5. It is…

Q: 5x' + 8x? lim メー→ 3x- 16.x

A:

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

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

Q: - 2x - 6 Find lim 3 X→- 3x° + 3x

A:

Q: Q7 a) (-) lim x-0 b) (₂) 2 lim 48 3r

A:

Q: V4-x 5. lim X-2- x-2

A: Given limx→2-4-x2x-2Since we have in the form of 00, we apply L'Hopitals rule limx→2-4-x2x-2=…

Q: a. lim+ 2* 3x² "

A:

Q: The value of lim (x³+2x4- 7x3- 5x²+ 11x – 15) X--2 (A) - 1 B) 1 2 (D -5

A: We need to evaluate limx→-2 x5+2x4-7x3-5x2+11x-15

Q: х3 — 7х — 6 - | lim x→3 2x3 – 11x² + 12x + 9 . -

A:

Q: 1.lim (2x²-3x+4)

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

Q: Solve without a calculator: lim (x3- 8)/(x2- 4) as x approaches 2.

A:

Q: 5x?-4х 4. lim- x+0 2x2+3 5. limVx6 + 5х3 — х3 3 2+3x-5x2 6. lim 1+8x2

A: This question is related to limit.solved in step 2.

Q: x – 4x + 4 3+5x² – 14X / - limx – 0

A: Given: limx→0x2-4x+4x3+5x2-14x

Q: Evaluate х-3 limx→3 x2—х-6 А. 0.5 В. 0.2 С. 0 D.

A:

Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: lim 2x + 1 -0

A:

Q: I2+10x lim 14 -6x 2+10x lim 14- 6x

A:

Q: 3. lim x→ - 00 4x2 -4

A: We have to evaluate the following limit: limx→-∞x2+34x2-4

Q: -5x3-4x²+8 b) lim x-0 6x2+3x+2

A: In this problem , x goes to infinity ,  Firstly cancel the highest power of x in numerator and…

Q: a. lim+ 2x 3x²

A:

Q: b) 49-(5+ x)² x-2 lim-

A: Use L.Hospital rule to evaluate above limit as in next step.

Q: A. lim x? + 3 x -0 B. lim (2x + 5) x -2 C. lim (2x + x2) (2х + x-2

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: find the limit or explain why it does not exist

A: Part (a) limx→0x2-4x+4x3+5x2-14x=limx→0x2-4x+4xx2+5x-14=limx→0x-22xx-2x+7=limx→0x-2xx+7 Now…

Q: - 4 lim,, limx-2 X - 2

A:

Q: 2x2 - 1 lim x- - 10x4 +3x2 - 2

A: Divide on both numerator and denominator by x^4 and use limit sep

Q: 21. Find lim x-5 A. 2 B. 3 x² - 7x+10 x-5 C. 4 D. 5

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2x?-クyーツ lim メーフ4 x2-メ~12

A:

Q: 2 Q5/ Solve Lim,1 (; ;). x2-1 x4-1

A:

Q: Show that 13x - 12 can be made as small as desired by taking x close to 4. lim (7x - 4) = 10x➔2

A: Let . Domain of f(x) is R and limit of the function is two. The limit of the function is a real…

Q: (a) 5x-3 – 4 (i) Lim x-00 2x-2 + 9 (x – 3)2 (ii) Lim x-00 X00 x2 7- 2x – 3 2

A: Since there are multiple questions posted, we will answer the first question posted (Problem 4 (a)).…

Q: Find:

A: The given expression is limx→-24x2+5

Q: Lim √2+x² X

A:

Q: 1- 2x + 3x? Find lim 5 + 3x – 2x? a+00

A:

Q: (a) 5x (i) Lim x→∞ 2x-2 +9 -3 - 4 X-3)- (ii) Lim X0 x2 5- 2x - 3 2

A: (i) The given limit is limx→∞5x-3-42x-2+9. Rewrite and evaluate limx→∞5x-3-42x-2+9 as follows:…

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.