B. Calculate each of the following limits, or explain why it does not converge. i. lim, - 1 (x-2) / (x-1)² ii. limx - 1 (x2-1) / (x-1) iii. lim, - 1 x-1|/ (x-1) iv. limx - 1+ |x-1|/ (x-1)

Q: (x²+4x-5)¹/2 lim x→1+ (x²-4x+3)

A:

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

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

Q: 3.) lim r/2

A: To find the limit of the function

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: b. Find lim (xv (xVx²+1-x²)

A:

Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n>0

Q: Find lim,00(e3 +2x)/* 1/x

A:

Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

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: (2x- 1)1/2 – 3 Lim X-5

A:

Q: Find lim 2-0 -x-1 x²

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

Q: (5x+1)(3—10х) x(10х+ 2020) Find lim X00

A: limx→∞5x+13-10xx10x+2020

Q: Suppose the sequence of numbers o, ₁,...,,... satisfies the difference equation 2k+1=0k+ where a and…

A:

Q: Find Lim- 3x-6 x-2 x²-4' A. ∞o C. 34 Select one: ос O B О А B. D. +13 010

A:

Q: 2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

A: (a)     limx→∞       2x5-3x3+7x-17x5-x4+x2         we take commom x5             limx→∞…

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: 2x a. lim x-+3" X - 3

A: limit

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: 3. Prove lim 3x-7= 2 X-3

A: