Q1) Evaluate the following limits.(Answer for 6 only) 12 mark 1- lim 2t 2

Q: Find the limits using any appropriate method. 4.4 #64 lim xe¬* 4.4 #44 lim Vxe

A: We will use DL hospital rule to solve this question.

Q: Q4\ find limits of the following x² –16 1- lim x-4 x -4

A: we need to find the given limit. 1-limx→4x2-16x-4

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: What are the values of the following limits? 2e – 5 (a) lim 1-e 3 + 4er [ Select) 2e - 5 (b) lim…

A: The value of following limits

Q: Evaluate the limits. If any of them tend towards -00 or +∞, enter "oo" (two lower case "o" letters)…

A: We can find the limit as below

Q: Evaluate the following limits. If needed, enter oo for ∞ and oo for −∞. (a) limx→∞ √6+7x^2/2+2x…

A: topic - limits

Q: Determine the limit. lim,- 3r –13a-10 1? –25 O 1.3

A: Please refer to the image below

Q: Evaluate the limit 7(y² – 1) - lim 3y²(y – 1)3 y→2

A:

Q: Evaluate the following limits. If needed, enter oo for o0 and -oo for -o. (a) lim (3722 +31a) (b)…

A: Given query is to find indicated limits.

Q: Use the Limit Properties to find the following limits. If a limit does not exist, state that fact.…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). 2x2 + 1 lim V…

A: Given:            limx→22x2+13x-2 Rewrite as: limx→22x2+13x-2 Use the property:…

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for - oo. -35x (a) lim 3 4x 3+…

A:

Q: Evaluate the following limits. 1. lim (1+ Vw)(2 – w² + 3w*)

A: According to our company rules we can answer only the first question and rest can be reposted.

Q: Q3) Guess the value of the following limits: 2-3x+2 1. lim X-2 x-2 2. lim+2x=2-x-1 -0 -2x-1-2 3. lim…

A:

Q: Use the properties of limits to calculate the following limit. Зху - 3 lim 2 (x,y)→(3,3) x + y +5…

A:

Q: Q4\ find limits of the following x² –16 1- lim Xー→4 x-4

A:

Q: Evaluate the following limits: [2х-у a) lim (x,y)→(3,2) ev2x-y 2.

A:

Q: 2. Evaluate the following limits. -7r-8 (a) lim 4x +5 (b) lim 100 3r2-3.r +4 (c) lim

A:

Q: Q4. Evaluate the following limits. 1) 2x+y-4 lim (x,y)-(1,2) √√2x+y-2 x²y-xy² lim (x,y)-(1,1) x2-y²…

A: Here given that a limit problem and we solve this problem by using general property of limit.   Here…

Q: evaluate the following limits (x+3)3-27 limy -20

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2 /2z- lim 4.

A:

Q: lim 2x* - 8x + 16 x--2

A: Given limx→-22x4-8x+16 =2(-2)4-8(-2)+16=2(16)+16+16=32+32=64

Q: Evaluate the Following Limits: Lim 2メー6 ス→3 -3

A: Please refer to the image below

Q: Зx3 lim х +2 +3x+5

A: limx→∞3x3+3x+5x3+2

Q: Evaluate the following limits. х* + 3х + 2 lim, 'x-1 v2 x² + 4x +3 a. x² – 2x lim, „2' Vx² +5- 3 b.

A:

Q: a) lim 3x2-10x5

A: Find the limit of 3x^2-10x^5 at - infinity

Q: lim r² = ∞ 1418

A:

Q: Evaluate the following limits: 5x2 – 28x + 15 (a) lim 5 x2 – 7x + 10 Va + 62 – 8 (b) lim x - 2

A: limx→55x2-28x+15x2-7x+10 limx→2x+62-8x-2

Q: 1. Evaluate the following limits: a.) lim,-3 V13- x2 b.) lim . 4 t2 → 2 12.-5t+6

A: The solution is given below:

Q: Evaluate the following limits 2x2y (a) lim (x,y) (1,2) x2+y²+1

A: The question for (b) seems incomplete as there is nothing to evaluate the limit. For (a),    limx,…

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for -0. (a) lim (38z2 – 38z³) = I+…

A: For a polynomial of the form: P(x)=axn+⋯+bx+c, if a<0, the degree: n is odd, then it can be…

Q: Determine the following limits. V16x? lim 16х2 + х

A:

Q: Find the limit. lim (x, y) (9, 4) X + 3y – 4x - 12 y 4 %3D У -4 6. 0. O 12

A: A detailed solution is given below.

Q: x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

A:

Q: Evaluate the following limits. If needed, enter oo for o and -oo for -oo. (a) lim (-12z? + 28z) (b)…

A:

Q: I need hep finding the limits and where they exist from x-> 1 and x-> -2

A: From the given graph, it is observed that at x = 1, the function contains an open circle, that is,…

Q: Which of the following statements are correct for lim (,1)→(0,0) 2y +3 1) Approaching along the line…

A: If the limit from both the paths are not equal then the limit does not exist.

Q: J, 4. lim X-3 x2 - 9 x - 3 lim X3 x2 – 2x – 3 5. X - 3 lim X"i x2 – 2x – 3 6.

A: We need to find limit.

Q: Evaluate the limits. If any of them tend towards -∞ or the infinity symbol. If the limit does not…

A:

Q: Q3: Evaluate the following limits 1- lim(x2 + 5x) x-2 (x+1) 2- lim x--1 (x²+6x+5)

A: To evaluate the given limits

Q: x²-4x-5 B. lim ズ→5 ズー5

A: first of all factor the numerator, then apply the limits

Q: Q2/ Answer two only from the following. (a) Find the limit (if exist): lim(2t-2)² dt 2x-1

A:

Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

A:

Q: Q4 find limits of the following 2-2 1-lim *-4

A:

Q: a) Why doesn’t the idea of “any number minus itself is 0” apply to the situation of ∞ − ∞? (b)…

A: Refer to the questions , we need to give explanation to the provided questions of (a), (b) and (c).

Q: Evaluate the following limits. If needed, enter oo (two small letter o) for oo and -oo for - 0o. 29x…

A:

Q: Evaluate the following limit. (3x²-y") lim (x.y)→(4,-4)

A:

Q: Evaluate the limit: 7t3 – 4t = lim t→ 2 %3D

A:

Q: 1. lim (3x + 4)

A:

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.