4. Evaluate the following limit functions 2x-3x+1 а. lim x-3 5x+4 x²-3x b. lim x-3 2x2-5x-3 C. lim x-1 x-1 X+1

Q: 8. Find the indicated limit 2X √x + 1] X lim(- X→∞0

A:

Q: Determine the following limits using the table of values 1. lim 1. X→ー-1 X+1 2. lim - x-0 2x2 3. lim…

A:

Q: Compute each of the following limits. (a) (i) lim 7x²5 x→-1 x²-25 (ii) lim X-5 x+5 (iii) lim x+2 x-2…

A:

Q: Calculate the following limit of f(x). x² + 6x + 9 lim x +3 X--3

A: Calculate the following limit of f(x) . In this we use L'hospital rule because here made a 0/0 form…

Q: Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x +…

A: apply the limit after solving

Q: Calculate the following limits. t2 - 2t - 3 lim t43 (t-3)3 a) |x-5| b) lim x+5- x2-4x -5

A:

Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: 4. lim ) ズ→1 Xー1

A:

Q: Compute the following limits and write your answer to the boxes. lim 4x cot 3x = 5x2 - 10x - 40 lim…

A: From the given problem: a) limx→ 04xcot3x So, we can also write as: limx→ 04xcot3x=4·limx→…

Q: x³ - 8x* +1x lim xa -5-14

A: Dear student our policy is to answer first one only in case of multiple question kindly repost the…

Q: Evaluate the following limits analytically: x-2 a. lim- x-1x2+x-6 10-x-4 b. lim x--6 x+6 c. lim *+13…

A:

Q: Determine the following limits analytically.

A: Given limx→3x2-9x2+42x2-3x-9 By using  a2-b2=(a-b)(a+b)

Q: Find the following limit: 2x –x+3 lim 3.x +5

A: Explanation of the solution is given below...

Q: Evaluate the following limits using the limit theorems. Show your solutions. 1. lim (4x – 7) X-0 2.…

A:

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: Determine the limit value of each of the following functions 11. lim 5(3x + 2) x →-1 12. lim * x→ 4…

A: Tp evaluate the given limits.

Q: Q.4. Calculate the following limits, if exist. 5x4 - 4x3 -x lim 10x3 -6x4 - 2x 1) x2 -16 lim x-4 x2…

A:

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: Calculate the following limits x2+4x-12 а) lim x-2 b) lim Vx +1 In(x+ 1) |x-21 X→ー1

A:

Q: Determine the limit 2x z 3 lim,> 3z2 1 8x |5 O x=2/3 O x=-5/2 O x=-2/3 O None of the Above

A:

Q: i. Calculate the following limit: 2x|x – 1| lim - x-1 x-1 ii. Determine the limit of f(x) when x…

A:

Q: 2x-1 2. lim X-2 \3x+4,

A:

Q: 2. Determine the following limit. 450 lim x→∞ 9+3 .1.2-0.25x+10

A:

Q: Solve the following limit by definition (ii) lim f (x) = 2 if f(x) : (4 – 2x, x 1 x-1

A:

Q: - Evaluate this limit. x² – 3x + 2 lim x→2 x2 – 5x +6 -

A: To find the limit

Q: lim -y3-3y²+4 y--2 -2y2-y+6

A:

Q: Find the following limits : 2x+3 2) lim x-o 3x-1

A:

Q: X-2 a. lim x-1x2+x-6

A:

Q: Evaluate the following limits analytically: x-2 x-1x2+x-6 a. lim 10-x-4 b. lim X--6 x+6 c. lim *+1 3…

A:

Q: Evaluate the following limits if they exist x +5x-3 a) lim x² + 2x – 6 x² – 3x – 1 b) lim x' +1 c)…

A: In the question we have to calculate the limit of the following functions given.

Q: Determine the following limits at infinity. 4x² + 2x + 3 lim x²

A: Consider the provided expression, limx→∞4x2+2x+3x2 Determine the limit of the expression. First, we…

Q: 2. Compute the following limits: (a) lim -x+ 7x + 3 (b) lim -x* + 7x +3 3 + 7x + 3 (c) lim

A:

Q: Find the limit for the following functions: - 1- lim 4 x-2 x² -

A: Just simplify the given expression and cancel out the common terms from numerator and denominator…

Q: -. Calculate each of the following limits, or explain why it does not converge. limx - 3 (x-2) /…

A:

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3.…

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: find the limit if it exists lim f(7+h)-f(7)/h for f(x)=-x+1 h -> 0

A:

Q: Find the indicated limit, if it exists. x+4 x<-5 lim f(x), f(x) = X-5 4 - x x2-5

A:

Q: Determine the following limits at infinity. lim x-11 xS-0

A: limx→-∞x-11

Q: Q1. Compute the following limits if it exists. √x+2-3. 1-lim( x-7 2-lim (7x²+x+1) x→∞0 4x²+3x

A:

Q: Calculate the limit algebraically. x² – 12x +35 lim x2 - 5x →5 O -0.4 O-2 -2.4 O 10

A:

Q: Evaluate the following limit: x1-14-V2 lim,-2 r-16

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: Evaluate the following limits x2+3x-10 lím 1. x+2 x2-8x+15 x-2 lim x+3 2-36 2. x-3 3. lim X+6 x+6…

A: 1.) The given limit is: limx→2x2+3x-10x-2.…

Q: Q3: Find the limit for the following functions: - Vx-2 1- lim x-4 x-4 (2x-3)(Vx-1) 2- lim x→1…

A: Apply d'hopital rule

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: Find the following limits. x²+3x-4 x -16 1. lim 2. lim X-1 X-1 x+2

A: Apply the limit to the given expression and if it results in 0/0 form then take the derivative of…

Q: Determine a reasonable estimate for lim hx x-1 3 -5 -4 -3 -1 3 5 2. 1 4. 1. 1. 2. ee

A:

Q: Determine the following limit: V1+ 4x – V1– 7x lim x →0

A:

Q: Determine the limit graphically, if it exists. lim f(x)= x-1+ -5 4/3 -2 -1 -1+ 1 2 3 -4, 4 -2+

A: For the graph given in figure, LHL=limx→a-f(x)=m and RHL=limx→a+f(x)=l Here from the graph, when x…

Q: Determine the following limits. x* + 7 lim x + x - x xSo

A: Given: limx→∞x4+7x5+x2-x Now we divide by the highest denominator power we get,…