95. lim 96. lim I-0 x -2 97. lim 3)2 1 98. lim 1--5 (x + 5)2 = -00 = 00 1-3 (x

Q: lim x-0 1 1 (ex ²-₁-²) 1

A:

Q: 13 + 6х + 7 (а) lim Зх - 8 1 (b) lim 3 (т — 3)2 1 (с) lim +5 5 - х

A: As per the instructions, we will be solving only the first three subparts. For (a),     limx→∞…

Q: 1 ? Why? 0* In(x) What is lim 10 8- 4 2 5 6 8 10 -4 -6 -8 -10 3.

A: The graph of 1lnx is, From the graph we can see that, As the value of x tends to 0 from the right…

Q: lim (1-e X-

A: Limiting value of function is the value achieved by function when variable tends to approach certain…

Q: 9. Lim 6x - Sin 2x メ→0 2x +3sin 4X b. lim x²-1 1/2

A:

Q: 1 1 lim x→1 2 In x 2x-2

A:

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

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: 1. 2. 3. lim 2 tan () lim – () 2-16 (x²–16 x+2 lim х -3 х-2 x →4 2 4. 7. x2 -7x+12 5. lim x →4…

A: Limits are given, we have to the find the given limits

Q: Limits of compositions Evaluate each limit and justify youranswer.

A: The given expression is limx→0x8-3x6-140

Q: 1) lim (2x – 3) = 1 %3D x-2 2) lim|x| = 0 3) lim x2-9 6. х-з х-3 9 3

A:

Q: х2 +x — 2 Vx + 4 – 2 - - (а) lim x→-2 (b) lim x + 2 y y 2 1.00 1 0.75 0.50 -3 -2 - 1 1 2 3 -3 -4 -3…

A: (a)limx→-2x2+x-2x+2blimx→0x+4-2x

Q: 2. 5 Lim X: CSC JZ% メラ。

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

Q: 1. lim x2 +1 = 2 ズ→0 (x-2)2 2. lim X2 (x-2)(x+2) 3. lim (5 -)

A: Put the limit in function

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: x+5 lim x→2 x´ – 4 x+5 lim x→2* x? – 4 x+5 lim 2 x→2 x² - 4

A: The given limits,limx→2-x+5x2-4limx→2+x+5x2-4limx→2x+5x2-4

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

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

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: 1. lim→- Зx? (2х - 1) 1 + 4x + 3 9. limx--3 x2- 3 2.

A:

Q: 22- iz lim 23 +1 10 -1 0 20 00

A:

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: V2x2 — х — 1 — Vx — 1 - - - lim x→1 32 - x3 + х — Vx2 +x O A) 2 В) 1 C) none O D) -1 O E) -4

A: we have to evaluate the following limit . For this we can use rationalisation

Q: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

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Q: 1.1) lim 1-у2х+1 1+ →-

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Q: Зx2-х-64 17.lim х-4 х2-х-12 10х2-7 18. lim х-о Зx2-х-12 х3-81 19. lim х-0о Зx2+4x+2

A: We will solve the problem.  L.Hospital Rule will be used in the problem.

Q: 18) lim Xcos- X XI

A:

Q: lim 19th 3. 1/-

A:

Q: 0.Lim ュー)×40,2 メ-2 メ→o “波 (1+x) - 1 4)Lim *キX メーフ。

A: In this question , we can find the limit .

Q: Find each limit, if it exists.

A: Given

Q: 2²+3z+2 limz→-1-I-2 Answer: -1/3 (4+z)² –16 lim,→0° Answer: 8 2²+12–4 lim,→2 I-2 Answer: 1/2

A:

Q: 4. lim 1000 x-1000 5. lim X--2 x

A:

Q: х3 — а3 lim х--а х4 — а4 x-a

A: Given  limx→ax3-a3x4-a4   We have to evaluate the limit.

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

A: we have to solve given problem;

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4

Q: 35. lim (sec 2/2 x – tan æ)

A:

Q: lim (4x+cosx) / x ? x--->infinity

A:

Q: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

A: Given query is to find indicated limit.

Q: 3x e - е -3x e 25. lim -3x + e 3x

A: Finding the limit of the given expression

Q: x2 – 2 3. lim x→2+ [x – x | x2 + 2x 4. lim x→0 x2 2.x - x2 5. lim x→2 10x + 16 - x2 – x – 2 - -

A:

Q: 1 2 1 + lim Р-(-1,2,0) х- 2 у -5 z+4 II

A:

Q: /14-х-3 lim 1-V6-х X→5 4-Vx lim х>16 16-х

A:

Q: 5 15 lim z00 10 x13+26 x15 Number Show your work and explain, in your own words, how you arrived at…

A: L=limx→∞(5x1510x13+26x15)dividing N and D by…

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

A: Given: 1.limx→23x2.limx→22x+1-3

Q: (5х+6)(х- 2) lim x→-2* (x-2)(x+2) X -

A:

Q: 1 ex-1. lim 1 ex+1

A:

Q: 1 lim(x²-3x+1) 3. lim tan(x²) 7. lim 2²-1-2 x²-4

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 2х а) lim -1-2x (sin 2x)+² - et b) lim -4x - cos x

A:

Q: 10 sin(0-5) Find lim 0-5 02-20–15

A:

Q: х2 — 25 а) lim x→-5 х2+ 2х - 15 х2 — 4х — 21 b) lim х>-5 Зx2 — 17х — 28 х2 — 2ху lim c) (х,у)-(2,1)…

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.