D. Calculate each of the following limits, or explain why it does i. limx-1 (x-2)/(x-1)² ii. limx-1 (x²-1)/(x-1) iii. limx-1 |x-1|/(x-1) iv. limx1+ |x-1|/(x-1)

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: Find limx->∞,if for all x>5

A: We apply limx->∞ on all sides.

Q: b. Find lim (xv (xVx²+1-x²)

A:

Q: Find the following: x/3 + 9x/5 i. Lim X 06x1/2- 4x1/4

A:

Q: (e) lim (3x²-x¹ + 1) 818

A: Given Limit,e. limx→∞3x2 - x4 +1

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

A:

Q: 6-x-1 X-5 √9-x-2 Evaluate lim

A:

Q: [a] find limg00 a+[b] *

A:

Q: lim S/GX X+10 5 G1-x

A: To evaluate the given limit of the function.

Q: Evaluate lim x → 5 x²-3x - 10 x-5 Enter an exact value below.

A: Given;  Limx-5(x2-3x-10) /(x-5).

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