3. Evaluate the following limits: +1 iv. lim 42 x-3 x+3 1 lim 4 v. 3 x2-2x-3,

Q: Vx+5-3 b) lim x→4 х-4

A:

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

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

Q: Evaluate 5x3 – 2x2 +3 lim - 8x + 4x - 1 00 A + 00 5 В 8 c) o D

A: Divide numerator and denominator by x3 and substitute the limit then simplify.

Q: C. Evaluate the following: i(z³+1³) 1. lim 24-1 2²+1

A: Given limit: limz→-iiz3+i3z2+1 L'Hospital rule: If limx→cfx=limx→cgx=0 or ±∞, g'x≠0 for all x in I…

Q: Determine the following limits.

A: Consider a function fx. Then, the limit of a function at x=a is given by: limx→a fx=fa

Q: E valuate Dle followneg: lim メーフ+ 7x" – 4x? + 7x - 2 J +- 3 メ 3x° -8x"+ フメー458 -x一5 x3

A:

Q: Q5:- Evaluate the following limits 3x4-3x2+5x-9 1. limxo 7x4+3x3

A: Solution

Q: 7). lims X-1 メ→ド X-1

A: The value of the limit is, 4  The detailed solution is as follows below:

Q: Find the limit: 2x+60-8 lim x 2 x² + 3x - 10

A: Given query is to find indicated limit

Q: B. Factoring method 1. Lim x-3/x2-18x+45; x= 3 2. Lim x2-64/x+8 ;x= -8 3. Lim x2+8x+16 ;x-1

A: There is the solution.........

Q: 5. Evaluate the given limits, or justify why they do not exist: -9 a. lim 3HI3 3r-8 b. 2x+6 4.x+1 c.…

A:

Q: 3 4x 7 lim x00 7x2+8

A:

Q: Find the limitsof: lim 34 メ+34 -V34 メしe

A:

Q: 23. lim 3x-2 2+ 3

A:

Q: xux-yuy+y2u=y2x find the general solution

A:

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

A:

Q: Evaluate the following limits: a) lim 20 7-6 10r2 r-4 b) lim q-3-79-6 qco 2q4+4q-3-10q-8 c) lim…

A:

Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: lim 3x+9x2-4x+17 5x3-3x-14 004-2

A: limx→∞3x3+9x2-4x+175x3-3x-14

Q: 4x 3. lim X-4+Vx-4

A:

Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

A:

Q: V²+3-2 24. lim エーナー1 72 1

A:

Q: A. Find the following limits: 2t2+3t+1 iii. lim 2t-1

A:

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

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.