Vx-3 4x-x? 2- Vx V+ 8-3 x + 1 29. lim 9 x- 9 30. lim X- 1 i Vx + 3 - 2 V + 12-4 31. lim 32. lim x + 2 33. lim 34. lim

Q: . lim (x* – 2x³)* 2. lim (3x³ + 4x² – 3) x-1 X-3 inal nswer: Final Answer: 3x2 + 2x – 1 (x + 4)? lim…

A: 1. Given the limit: limx→-1x4-2x34 Here the limit value is defined when x approaches -1. Find the…

Q: Finding LimitsIn Exercises 9–14, find the limit or explain why it does not exist.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: lim 4. 3- a2 - 6r + 9 5. lim 3+ a2 - 6r + 9 6. lim 3 a2-6x + 9

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: Va² +1 vAx² –1 V4x² – 1 lim det 2x

A:

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: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: evaluate the limit.

A: Given  it can be written as

Q: x³ +1 .3 34 lim .3 x → 12x + 2 lim Vx + 2 x > 2 35. Answer lim 5x + 2 x → - 2 36.

A: we have to evaluate the following limits

Q: Find each limit, if it exists.

A:

Q: x-5 s x2 - 25 x² + 3x- 10 x + 5 19. lim 21. lim 2 +t-2 23. lim -2r - 4 25. lim X-2 x +2r? 27. lim…

A:

Q: 9. lim 4-h 3h-4h 10. lim h-h' Jx-3 11. lim

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

Q: z? +1 lim z4-1 %3D i O -i o

A:

Q: 5. lim 16. lim 0 V3h + 1+1 0 Vsh + 4 + 2 3h + 1- V Sh + 4 - 2 7. lim 18. lim

A:

Q: lim (x,y)(2,-3) x 2.

A: We simply put limit here.

Q: lim (4+ (2? + y°) In(x² + y²)) (1,y)(0,0)

A: Given; lim(x,y)=(0,0)[4+(x2+y2)ln(x2+y2)]

Q: 7. lim z+5* 15 3r 2- 2z-3 lim 73 22-8r+ 15

A: Find the limit

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: lim xy + 2y - 3x - 6 (x, y) 4, 3) y +3 y-3 2 O 6

A:

Q: 4. lim x5 x- Note* the sign is negative -1/2 5. lim va N. -- I. 2v2 6. lim 3x Vx Н. 243 3 x-27

A:

Q: 54. lim 2 (2-x)' 55. lim y r+1 x-1 56. lim (Vx+ +2x-V-2x

A:

Q: lim 3X + x?+2 X-> X+ -2 2X +X2 V 3h +4 -2 lin!

A:

Q: (2) (6) xy-y-2x+2 lim (x,y) (1.1) x-1 2x-y-2 lim (xy)-(20) 2x-y-4 lim (x.y.x)-(3,4.1) (xyz) ¹√√x² +…

A:

Q: 2021 + -x 8. lim %3D 20 +21 + v-x

A: Lim 2021+8-x2o+21+-x

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: 7x3 – 4x + 2x6 lim с. 5x3 — Зх2 x--00 7x3 - 4x + 2x6 lim d. 5x9 — Зх2 x00 7x3 - 4x + 2x lim 5x3 —…

A:

Q: 1 lim h(x) =-3 then lim (g(x)+ (g(x)– h(x)) %3D | x-4 x--4 c) 8 d) 13

A:

Q: use a graphing utility to find the indicated limit rounded to two decimal places.

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

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: y 2 -4 -2 2 4 lim h(x) x--3 lim h(x) -3* O lim h(x) X--3

A:

Q: 19. lim x→2- x2 - 4 y + 6 21. lim y→6+ y² – 36 y +6 23. lim y 6 y2 – 36

A:

Q: السؤال 1 lim iz?-z z-- z2-1 i o -i O 1 0 -1 O

A:

Q: Vx? +12 - 4 x²-5x +6 2x-5x +6 a- Lim cos x b- Lim c- Lim d- Lim x - 2 x'-8 3x -8 --

A: If in limit denominator and numerator forms 0 by 0 use L hospital rule

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

A: we have to solve given problem;

Q: x+5 lim x→-5 V x² – 9 |-4 2 -

A: Limit of function at variable tending to any value defines the value of the function when the…

Q: 5x 3) lim X-2-4-z Sx lim X-2- (2-x)((2+x) 5(-2) -10 -10 -10 (2-(-2)(0-) (2+2)(0-) 4(0-) 0 to

A: "Since you have asked multiple questions to be solved then, we will solve the first question for…

Q: kx+ v3 y = 3 | -5x+ v3y 3 | th=120 | k=? A=(4-1,-2/5 3/5) B=(3/5-2/5,-1 4) I(BA)^-1= (A^-1)(B^-1)…

A: Please rate

Q: x - y 1. lim (x,y)¬(3,3) 1 2. lim x-0 xVx + 1

A: (1)  lim(x,y)→(3,3)x-yx-y=lim(x,y)→(3,3)x-yx-y×x+yx+y (We rationalize the denominator)…

Q: lim Vx2 - 5x +7 3. *2 -6x+1, lim(t1,3 4. *1

A: To evaluate: 3. limx→2x2-5x+74. limx→1-6x+183

Q: 5x-3 - 4 O Lim X-00 2x-2 +9 (x- 3)2 O Lim X00 X2 -- 2x - 3

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: lim (x, y) → (4, -2) x2y + xy2 x? – y2

A: The given expression of the limit is: lim(x,y)→(4,-2)x2y+xy2x2-y2

Q: 3x+1 5) lim x+ 2x +5 2+Vx lim ²-3x 6) 7) lim 2-Vx

A: Limits

Q: 2 V - 3 lim x – x→0 9 – 5 x 3

A:

Q: 4x? — 25х + 25 (a) lim x→5 x² – 8x + 15 | Vx + 22 – 5 (b) lim x→3 x – 3 -

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: V4-4x+x' 18. lim x-2 19. lim 4+1-V4-t x-1 20. lim Vx+3-2 7+31 21. lim (t+2)-(1-2)

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:

Q: 6.lim 2+x-VZ

A:

Q: 3) lim (x- 3x + 4) 4) lim -V2x-2 A) -5 C) 0 B) 2 D) 7 A) V12 C) 2 B) -7 D) -6

A: 3.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.