1. Evaluate the following limits by applying the limit theorems (show solutions): 2. 7. x→4 V4x 1 1 3 I Vx - 5 9. lim x-5 x - 25 1 1 10. lim 2 x→4 x-4

Q: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

A:

Q: Use l'Hôpital's Rule to evaluate the limit. x² - 8x+15 x-3 lim x-3 OA. 6- OB. 14 OC. -2 OD. -5

A: Limx-3(x2-8x+15)/(x-3) Find the limit.

Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

Q: 1 lim x→1 x = 1.

A:

Q: 2. Find the following limit: Va² +2 limr+ 3æ-6 °

A: Using the property of limits,

Q: Which of the following limits can be evaluated using L'Hôpital's Rule? Зх- 12 A.lim x→4 x2 +16 Зx-12…

A:

Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

A:

Q: X- Zx +3x+2 lim

A: Solution of question as follows

Q: Determine whether the limit lim Vx² +1– Vx+1 exists. Please explain your answer.

A:

Q: 3. Evaluate the following limits, if they exist: 1 (a) lim 1 +3 2x x→-0

A:

Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

A:

Q: (a) ze'u lim (x..)(-1,0,4) 6z+ 2y-3z (b) I-4y lim (r,v) (0,0) 7z+ 6y

A:

Q: Let f(x) = x³ - 3x² - 1. What is the limit as x approaches infinity? Limit is: What is the limit as…

A: Given function is fx=x3-3x2-1 We need to find the limit of function for following cases, x…

Q: Q2/ Find the limit of the following function: 3x-r 2+3x 2. limx→∞ 7x² -5'

A: The objective is to find the limits limx→∞2+3x7x2-5 Now, limx→∞2+3x7x2-5 represents ∞∞ form.