o Find Lim X-→2 2-12X 2- X X #2 @ Find Lim X→2 x* _ 2x² - 8 x - 4 | O Lim 3X X3 X- 3 -3 X ¢3

Q: 7). lims X-1 メ→ド X-1

A: The value of the limit is, 4  The detailed solution is as follows below:

Q: 1 lim x→2- x – 2

A: The notation indicates that the limit is the value the function approaches to from the left of the…

Q: ev2x-y lim (x,y)→(3,2) x*-4x2 lim (x,y)¬(0,0) \x²+2y²,

A:

Q: Va² –3 –2 \, x2+1 lim x→-1

A: Given: limx→-1x2-3-2x2+1

Q: evaluate the limit.

A: Given  it can be written as

Q: QI/ Find the following 1- x - 2 lim x--2 x2 - 4 lim (5 + lim (5+) 0-ズ 3- 2x2 +3x lim x0 5x2-2x 2-

A: 1)         1) limx→2x-2x2-4            = limx→2x-2x-2x+2           = limx→21x+2           =…

Q: 1. lim (5x+2) ス. lim ar-5 3 Xター Xコキ

A: Given: 1. limx→-15x+22. limx→7 2x-53

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. Find lim (√x + 2 = √2).

A:

Q: x+1 lim V3- х - 2 Evaluate x→-1

A:

Q: 3 - Væ + 5 lim x – 4 - ||

A:

Q: f(x) - If lim x--2 x 1, find %3D lim f(x) f(x) b. lim X--2 а. X--2

A: Given, the limit is                   We have to answer the given questions.

Q: Evaluate lim (x,y) ---> (0,0) (2xy^2)/(3x^2+3y^2)

A: Given term is: limx,y→0,02xy23x2+3y2

Q: 31. lim (x2- 1) 3 -2

A: Given

Q: 22. lim x-0 |x|

A:

Q: Q6.1 1 Point lim f(x) n Q6.2 5 1 Point lim f(x) 4 Q6.3 1 Point lim f(æ) 2 Q6.4 1 Point lim f(x) 4…

A:

Q: 13. lim X- 6 3 14. lim X-1 x+1 X-4 15. lim x-2

A:

Q: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

A:

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

Q: 2 lim (x + 1) - (х* + ) x → 0

A:

Q: Evaluate the following limits.

A: If any function is continuous within a given interval, then its limit must exist in that interval.…

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: lim x---5, x - 5/x2 - 7x + 2

A: Given: Let y=limx→5x-5x2-7x+2 To Find: To evaluate the given limit.

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: Find each limit, if it exists.

A: Given

Q: х+10 е. lim X2- x - 2

A:

Q: Give precise definitions of the following statements.

A: Given: a.limx→2-fx=5b.limx→2-fx=5c.limx→2fx=∞

Q: tind lim X+8 -3 メ→ - メ+」 2. lim X+3 2. メ→ -3 ×+uメ+3

A: The given problem is to evaluate the given limits of a function, we have to check the 0/0 form then…

Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: 1 (B). Evaluate lim (3 – x) x-2 x→2

A: Given that  lim x to 2 (3-x)^(1/(x-2))

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

A:

Q: 25. lim x'-8 -4 26. lim x - 2 1 27. lim x-2 x-4

A:

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

A: limx→139x2-3x+4

Q: 1 + (a) Lim X-1 'x+1, -2

A:

Q: 1. lim 2x+1 2. lim x→3 ズ-3 x-1 ミ- キ* さ

A:

Q:

A:

Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: A. lim x? + 3 x -0 B. lim (2x + 5) x -2 C. lim (2x + x2) (2х + x-2

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

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. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

A:

Q: 2. Evaluate lim (5x - 2 x+3.

A: To evaluate the limit: limx→∞5x-2x+3 Solution: We know that, limx→afx-gx=limx→afx-limx→agx Using the…

Q: 23 - Vx - 47 Find lim x+ 24 X→-24

A:

Q: 1) Evaluate lim(2x + (x – 3)²). x→3

A: NOTE: Refresh your page if you can't see any equations. . execute the limit by taking x=3

Q: 2 V - 3 lim x – x→0 9 – 5 x 3

A:

Q: 1. lim (x - 2r)

A: since u have asked multiple questions in a single request so we will be answering only first…

Q: Find each limit, if it exists.

A: (a) limx→∞ 3-2x3x3-1=limx→∞ x3x-2x3x2-1x=limx→∞ 3x-23x2-1x=0-2∞-0=0 Thus, limx→∞ 3-2x3x3-1=0.

Q: 3. X-27 メ-3 lim X-

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.