| Page 3 Question 4 (a) Find the following: x/3 + 9x/5 i. Lim- X-0 6x+/2 – 4x+/4 (2x– 1)-/2 – 3 ii. Lim X-5* х-5

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: QUESTION 10 Compute the limits. Justify your answer. (You will receive no credit without showing…

A: The limit of given function is computed directly by using some results

Q: Calculate each of the limits in Exercises

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

Q: . lim, 1 -2 Inx x-1

A: To evaluate the given limit

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

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

A:

Q: 1-cos x 9. lim x00 x2

A:

Q: (2) 1: limx-1 sin(x3–1) x-1

A: limx→1 (2-1x)2sin(x3-1)x-1=limx→1 (2x-1x)2sin(x3-1)x-1=limx→1 4x2-4x+1x2sin(x3-1)x-1=limx→1…

Q: 9x +1 lim x - 1 V1+x-1 lim x-0 lim 2x2 + 3x lim x05x2 - 2x Dr ohammed Jas

A:

Q: 1- cos(2x) lim x→0 х-0 1 — сos(6х) 7* – 6* – 1 lim x→1 х2 — 1

A:

Q: 2х + x 1. lim

A: Consider the limit  limx→02x+xx

Q: 2 Compute limx→16; 1-x2 1 X-1

A:

Q: Зx2-14х +8 lim 7x-28 x+4

A: By factoring method: Take factors in numerator and denominator  Limx-4(3x2-14x+8)/(7x-28)         =…

Q: 10 Find lim x12s 3. X->- X -25 2 lim Jx +3 - 2 メ→」 O lim Sitx - -x 3. 1-X 2 X

A:

Q: 1) lim (1--)*

A: As per our guidelines we can solve only 1 question. The rest can be reposted.    In question  no 1…

Q: Page 3 Question 4 (a) Find the following: x1/3 + 9x1/5 i. Lim- х-о бх1/2 — 4x1/4 (2x – 1)1/2 – 3 х —…

A:

Q: tan (2x) 3. 24. lim- %3D .3

A: We replace tan(2x) by sin(2x)cos(2x)…

Q: 2x +1 if x3 (А) -5 в) 6 23 D) -13

A: Here I am attaching image so that you understand each and every step.

Q: 1. lim (x2 - 2x - 3) x-5 2. lim () x-2 x-7, 3. lim (Vx + 15 ) x-10

A: Functions are given, we have to find its limits Note: we are answered with 3 part only. please…

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: 4x + x-1 lim 3x- x²

A: Here we have to find limit of the given function.

Q: What is lim tan(x)? Why? AY 10 8 6. 4 2 -0.S 0.ST, 0.5n, 1.5a, 27 2.5m -4 -10

A: Given limit is limx→π2+tan(x) As shown in the graph of tan(x), as x approaches π2 from right side ,…

Q: QUESTION 2 Calculate the following limit: lim (x² – 3x – 10)(*-5) X-5+ QUESTION 3 6

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Q: Find the limit.

A: We can find the limit of an expression by applying the limit point as value of the variable in the…

Q: 4 Find lim х — 4 Væ – 2 x→4

A:

Q: lim In(x+3) 4) 1

A: Evaluate :     limx→∞ln3xlnx+3

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

Q: ® Find Lim X->2 x¥ _ 2x² - 8 x² - 4 (2 ,X +2 Lim 3X X→3 X- 3 -3 X+3 O Lim © Lim t- fo -) ,X EO X+2 2

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

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: В. Find the limit. х2-25 Зх — 1 1. lim х>-5 х + 5 5. lim х-1/3 9х2-1 Зx2—17х + 20 х3-1 2. lim х-4…

A:

Q: 5. Evaluate: lim, 0 2x- x2 sin a 1 Does not exist 2.

A: lim (2x-x2)/sinxx→0

Q: (4+ 43) (x + 43) -(16 + 43)x limy→ -43 limx. x + 43

A:

Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

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Q: cos x-2sinx 1. limx-n 3cosx -2 limx-3 X-3 3x6-x*+2x-3 limy--o 4x5+2x3-5 iv. lim,→-1(x³ limy--1(x³ –…

A: [i]

Q: . What is lim tan(x)? Why? 2 AY 10 8 6 4 2 -1A -0.5 0.5T, 1.57 27 2.57, 37 -4 -6

A: 1) limx→π2+tan(x)=? 2) limx→0+f(x) =? and limx→0-f(x) =?

Q: 4х — 1 Problem Find lim x +00 Jx2 + 2

A:

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

Q: F(x)={tan(x+3) x3-) f(x) Photo better depicts problem, thank you!

A: Given,           Fx=tanx+3x&lt;-3x+33+1-3≤x

Q: Problem 2.4 Evaluate lim (√²+x-=-) x X

A:

Q: Question 3 arctan(3x) lim ( Select) X--0 ex -1 1/x lim x--0+ In x ( Select)

A: to find:- limit.

Q: Problem 2.5 Evaluate lim x →0+ 1 (-/-)

A:

Q: lim In(10x) x-0t

A: To find the below right-hand limit.

Q: Question 5- Evaluate the limit. V-1 lim l Vx-1

A: Given: limx→1x3-1x-1

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: 9 – y². |-(16 * 10)x – (4 * 10) lim . -] + lim y--33 + y x + 10 x--10

A: Given,            limy→-39 - y23 + y + limx→-10-16*10x-4*10x + 10

Q: 1 lim In csch (1– 2x,

A: Let L is the value of given Limit

Q: EXAMPLE 5 A Limit That Does Not Exist numerically. Investigate lim sin graphically and

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Q: 3-Vx2+9 Without using L'Hopital's rule, find: lim-

A:

Q: Find lim I -4 2+1 1 lim z - -4 +1 Show your work and explain, in your own words, how you arrived at…

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