2 2 X-9 Find lim- a. x→3+ as b. x→3 C. X→-3+ d. x→-3

Q: Determine the value of 6>0 for which lim (3x² – 1) = 47 x+ 4 A 6 = max{ – 4-16 -5, - 4 +/16+ 3 들) 3…

A:

Q: 1. Lim 2 x+3x+1 7x²-2x+4

A:

Q: 2h 4. lim h0 2h S(x) dr

A: Answer and explanation is given below

Q: 1. lim -4x +7 = -1 X-2

A:

Q: 42t lim t+0 4 - 1 - 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: 2z 4z +9 Find lim, oo 00 3z2 8

A:

Q: Зх — 4 1. lim 2х+1

A:

Q: lim

A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: 28x2 + 949x – 2124 а. lim x→-36 37x² + 1380x + 1728

A:

Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

Q: t -9 9. lim- -3 2t +7t+3 1 1 11. lim x-3

A: 9) limt→-3t2-92t2+7t+3=limt→-3(t-3)(t+3)(2t+1)(t+3)=limt→-3t-32t+1=-3-32(-3)+1=-6-5=65

Q: x2 -x-2 lim 12 x- 2x X-2

A:

Q: x - 7x+ 10 Find lim as х3 -5x? b. х>5* d. x→5 а. х>0* с. х>5

A: We need to find the expression of the limit for the given conditions. Here,

Q: 9x2 lim x+00 x+2

A:

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

Q: Which of the following statements is true? 7x2 7 A lim 3 (ку) - (0,0) Зx2 — 5ху+ 2у Зx+у-4 lim 8…

A:

Q: For * + 3. lim (02)-(0,0) :? O A. -2 В. 2 C. Does not exist. D. 0

A:

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: t-15 - 3t + 45 Find lim Nt +85 –10 -t+15

A:

Q: x* – 5x² lim x2

A:

Q: Q 7 Find lim y+21y2 +71y + 51 y2-9

A: Consider the given limits

Q: V2 x4-625 Find lim→5 5 х-5 O 1200/2 O None O 100/2 O 86/3

A:

Q: y² + 5y + 6 lim ソ→2 y + 2

A:

Q: V9 +h - 3 lim h-0 h

A: Given Data: Limit,   First, multiply and divide with (sqrt(9+h))+3 in the expression of limit and…

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: V x + 9 - 5 lim X--4 x + 4

A: The objective is to evaluate the limit.

Q: 8-x3 lim x2 -2x +2

A:

Q: x6 – 3,000x5 lim x→-0 4x° + 10,000 9

A:

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

A:

Q: x - 27 lim x 7x + 4

A:

Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: (e) lim V9r2 +x-3r %3D

A:

Q: 2x2+11x+5 #5) lim x3+125

A: Solve for limit

Q: Vz2+4-2 (d) lim 22

A: We can find the limit as below.

Q: 12 + 31 + 2 28. lim P-1 ² – t – 2

A:

Q: 2 lem -9 ズ→ス x-4

A:

Q: - 5/2+81 +81 주 lim x--00 2/12+Vt²–167 3

A: we will use the fact that any constant number divided by a very large number (infinity) we get the…

Q: -10 10 +1 lim z6 +1 10 4 5 3.

A:

Q: 5x2 + 5 lim x → 2 9х — 2

A: