100 58. lim 59. lim (5x - 6)2 h0 (10h - 1)" + 2 V10x - 9 - 1 * + 2x x - 3 60. lim 61. lim x - 1 2 (5 + h)? – 25 62. lim 63. lim 2 x - 2 2x. h x² - 2cx + c? 64. lim w? + 5kw + 4k? lim 65. for k + 0 w* + kw

Q: 81 5x³ + 2x + 7 lim In x³ -11x2 + 55x + 10 (3)A (8+()+ s)l

A:

Q: 1. lim (x – 4)(x² + 8) x→5 2(t-10)² 2. lim t→10 t

A: Let P(x) = a0+a1x+a2x2+.....+anxn be a polynomial, where a0, a1, ...., an are real numbers and n is…

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: 5-Lim メー>0 2x+3x=7

A: The given limit is limx→∞x2-22x3+3x2-7.

Q: x² – 4 - lim 3 x→-2 x + 8 O 2/3 О 13 О 13

A:

Q: 26. lim h→0 27. lim t-0 29. 28. lim t-0 Answer √1+t-√1-t t ·2+h)² +2-¹ h (17-0²-²1) t + t 4-√√ lim…

A: Fiest simplify then apply limit

Q: lim 1. m, n > 1 is

A: We try to find the limit by substitution

Q: 4. lim ¥3-ェーv3 エ 5. lim 2r2 – 3z+7 3ェ+ 3-3 エ→ 12 – 3r+2 6. lim エ→2 +ェー6 エ→2

A:

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: 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: Find each limit, if it exists.

A:

Q: 8. lim xx = 1 00-X 9.lim (1 – 2x)x = e¯2

A:

Q: Finding Limits #23 please

A: Given information:

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: 2n lim 4k2 + 3n2 k=1 n00 tegral

A:

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

A: Find the limit

Q: 3. lim Vx+3x + 6 X-2 -1.9 -2.1 -2.01 -2.001 -2 -1.999 -1.99 fx) . lim X--2 x+3x + 6 =

A:

Q: 2x2 – 12x 1. lim 1-6 r2 +x - 42 3- V25- 2 2. lim 1--4 r+4 3. lim

A:

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

A:

Q: Find the limit.

A: Given: lim∆x→0(x+∆x)2-x2∆x

Q: х2 — 10х — 25 lim х-5 х2 — 4x — 5

A: Our objective is to find the limit.

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: 3 lim- h→0 /3h +1 +1

A:

Q: lim t-4/|t-4|  ? t-->4-

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: 2 lim キx°- キx - しx* -I 3 x メ→ o -\x3+ キメ - 12

A:

Q: find the one-sided limit.

A: Definition of the limits helps to find the required limit. If there is a plus sign over the point…

Q: _15. lim X-4 2x-8 is x+4 a. 0 b. -6 c. 2 d, does not exist

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)

Q: +64 1. lim (3x-x² + 2) = 6. lim X-3 X-4 4x+16A 2x2-x-3 x+1 2. lim 7. lim X-1 х+1

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

Q: 1. lim Vx? – 4 x→2+ – 4 2. lim /x(5 — х) x-5 4x 3. lim x-4+Vx-4 E.2

A: We have to find

Q: 8. lim (2x – V9x² + x + 5 n-+00

A: limx→∞2x-9x2+x+5

Q: 4. 7. x² –7x+12 5. lim x →4 (2+h)² – 2² lim h→0 lim 9 х-4 h x →7

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

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

A: we have to solve given problem;

Q: 10-n lim n-00 Vn+ 10 + Vn2+n A)

A:

Q: х* — 2х lim 2 x→2 X х — 4 - 4

A:

Q: 9. 4. lim X-3 x2 - 9

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 1. lim (2r + 5) 2. lim (10 3x) X12 3. lim(-x + 5xr 2) 4. im (x'-2r? + 4x + 8) 5. lim 8(t - 5)(t-7)…

A:

Q: 3 a. lim うルーフ4 4- 1し 5- J3c+9 2-Jつい 5. しim うしー72 ル+2-Vt4んt4 C. Lim 2021+リ-26 ルーフ 20t ーて

A:

Q: 3 + 2* is 5* 28. lim 4 X -0 2 (A) 5 (B) 0 (C) (D) nonexistent -- 3/4

A: topic - limits

Q: 51. lim (x- 2) *2-4 X+2+ lim r1/(x-1)

A:

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: 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: Find the limit

A: Given

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: 3/25-x² Lim X-4 X+4 t.

A:

Q: 3x-2 lim 00 has 2x+1 O value 3/2 no value O value -2 O value 1

A: We have to find the limit: limx→∞3x-22x+1 This is ∞∞ indeterminate form. Simplifying the limit to…

Q: 6.lim 2+x-VZ

A:

Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.

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.