3. Find lim f(x) and lim f(x) for the given function and value of c. Tough X-C+ X-C f(x) = (x+8)- Let 1(x) |x + 51 X+5 C = -5 lim (x+8). X→-5+ x--5- lim (x+8)- x + 51 x + 5 |x + 5| x+5 = Show your work below. (Simplify your answer.) (Simplify your answer.)

Q: lim, 1 2²-7x+6 z-1

A:

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: Show that lim(5x+2)=-18 x-> -4

A:

Q: Vx+8-3 Evaluate ' lim-1 x+1

A:

Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: Evaluate |x2-41 lim X-2 X- 0/0 O Does not exist

A:

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: If f(x) = lim f(x) = X-4 -7 for x = 4, {2} 2x+7 for x #4 then

A:

Q: V13-x - 2 4-Vx +7 Evaluate lim-

A:

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

A:

Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

A:

Q: Determine whether the following statements are true and give an explanation or counterexample.…

A:

Q: lim (2x-5x) is x--2

A:

Q: Evaluate lim(2x3 – 3x + 1) x-3

A: Topic - limits

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: x2-9x+20 d. lim x-4 x2-3x-4 e. lim +2)2-4 X-0 3x2-x-10 f. lim- x-2 x2+5x-14

A:

Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: x8 – 1 lim x-1x5 – 1

A:

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

A: