(a) -4 5x - (i) Lim 2x+9 N (x - 3) (il) Lim - 2x - 3

Q: (a) 2 + 10x lim 10 – 4x (b) 2 + 10x lim x → - o 10 – 4x

A:

Q: lim, x2+5x-14 x+2

A:

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

A: We will factorise the numerator first

Q: a) lim (x² 2 - 4х) - X→2 b) lim (3x-1)2 x→2 (x+1)3 2x3 + 5x² –4 x+8 c) lim X→∞ 4x2 —х-7

A: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost…

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: 4x- x2 5. lim 42-Vx x2 +12 - 4 |6.lim- x- 2 Final Final Answer. Answer:

A: Given:            limx→44x-x22-x Rationalize denominator           =4x-x22-x×2+x2+x=x4-x2+x4-x=x2+x…

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: r2 - 5x - 6 What is the lim I→ -1 x2 + 4x + 3

A: the limit is =-7/2

Q: 4 x*-81 Find lim- x+3 2x²-5x-3

A: First of all we will factorise the numerator and denominator separately and then cancel out the…

Q: Find the limit.

A: Evaluate: limx→-1 -2x3-x+5

Q: 1. The limx→4-7 a) 4 2. The limx→-4+ a) 0 b) - 7 √x² - 16 b) 4 c) 0 Ô 16 d) Does Not Exist d) Does…

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: 3x2 (b) lim х30 х+1-ех

A:

Q: Determine the following limits or state that they do not exist.

A: x3-5x2+6xx4-4x2

Q: 2x e-2x2 lim २३

A: We can find the solution by applying the L' Hospital's rule for limit calculation.Here if we get 0/0…

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

A: Note: According to Bartleby guidelines; For more than one question asked; only the first one is to…

Q: х2+x-12 9. lim x-3 2x2-7х+3

A: Given: limx→3x2+x-122x2-7x+3 To Find: To evaluate the given limit.

Q: x2 -x-2 lim 12 x- 2x X-2

A:

Q: (i) Lim   5x -3  - 4     x→∞  2x -2 + 9

A:

Q: - 2x - 6 Find lim 3 X→- 3x° + 3x

A:

Q: x2 - 2x lim r73 x + 1

A: Given, Findlimx → 3 x2-2xx+1

Q: - 7x- 14 Find lim 3 X→-2 x° + 2x - 7x - 14 lim %3D x→-2 x° + 2x (Simplify your answer.) II

A:

Q: 22-7x 18 lim r -2 x + 2

A: Consider the following limit:…

Q: Vx2-7х+16-у6 2. lim X→5 (х-5)/x+1

A:

Q: (-1)*k² 3k 3x+4x +5 lim a x + 6x +7 lim 12 00 k=1

A: Given, limn→∞∑k=1n(-1)kk23k=limx→∞3x3+4x+5a5x3+6x+7

Q: (2x+1)²-5 lim =? х-0о 2х2+х-1 30 -1

A:

Q: x3-3x+2 lim-1 (x-1)2 12 15 18 O 3 6.

A:

Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

A:

Q: x² + 7x- 18 lim 6- 1 -69

A: Given

Q: (a) lim5x= x2 (b) lim5x(2x+3)= x→2 (c) lim(x* - 4x+1)=

A: As there are multiple sub parts, (a),(b) and (c) are solved here.

Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

Q: x3-8 lim = 0 %3D х-2 х4—16 FO

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 5x-3 – 4 Lim- X- 2x-2 + 9 (х — 3)? • Lim 7- 2x – 3

A:

Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

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

A:

Q: ]x - 5| lim 3x-15 x5-

A:

Q: 2+3t+2 lim -1 2-t-2 (ii).

A: Given limit: limt→-1 t2+3t+2t2-t-2

Q: (a) lim- エ→4 Vř -16 (b) lim- (1–x)² エー

A:

Q: x1メーコ| 7) tim メ3 x2-9 2\ 8) lim 2X- X-15 メマ メ)x-3|

A: 1. limx→3-xx-3x2-9 x-3=-x+3 as x→3- and x2-9=(x+3)(x-3)…

Q: lim メ-2 ー×t6-× 2. 12-X X +6

A: Solving

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

A: (i)

Q: 2-9x +20, lim r-4 x- + 2x – 24 2х -24

A: To evaluate the given limit.

Q: a. lim X1 2x-3 8x-2x+1 b. lim x-o -11x2+5x-18

A:

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: (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:…

Q: 6 - 8x (a) lim X- 0 6x3 - 2 6 - 8x (b) lim x- 0 6x - 2 6 - 8x2 (c) lim X- 00 бх — 2 II II

A:

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.