3. Find the limit of +2x+3 lim X-2 V x+5

Q: 2. Use the definition of the appropriate limit to show (a) lim→∞(2x² + 4x – 1)/(3x³+ 1) = 0. (b)…

A: a) Given limx→∞2x2+4x-13x3+1

Q: Find the limit. lim x→-2 x2-4/x+2

A:

Q: Find the limit, if it exists.

A: To find the limit limx→-∞ 3x2x+5

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

A:

Q: The value of the limit lim x42x-3 メー)1 X-イ

A:

Q: - Find the limit lim Xo 2x-3

A:

Q: Calculate the limit lim 2 / 5x-15 as x goes to 3^+

A:

Q: Find the limit, if it exists. 29) lim x+12x2 -5x 5x To X-0

A: First we have to factor out x from the numerator.

Q: 1.) Calculate the limit: lim(2x² – 6x +1)

A: We have to find the limit of the function: limx→22x2-6x+1 Since this is determinate limit so we just…

Q: 4-Find the limits of the following x -1 1. lim Vx +3 - 2 Vx² +2 2. lim X+0 3x –6

A:

Q: The value of the limit Vx-イーイ lim メ→ 2 メ-2

A: Given,  limx→2x-1 -1x-2  We have to find the limit.

Q: Find the limit lim 4-1x1 4+x

A: We have to evaluate the limit limx→-44-x4+x.

Q: Calculate the limit lim 2√(x-4) / (x-4) As x goes to 4

A:

Q: r+ 2 Calculate the limit lim 1-2 x2 – 3x – 10°

A: By using L'hopital's rule, we find the limit of the function.

Q: 3. Evaluate the limit of lim(x² + x + Vx + 1) x→3

A: A limit of a function f(x) is defined as a value, where the function reaches as the limit reaches…

Q: Find the limit. lim x→3 1−x2/(x-3)2

A: Given, The limit limx→3 1-x2x-32  We have to find the limit.

Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

Q: Evaluate the limit x2 + 8x + 15 lim x → - 3 x + 3

A: =?

Q: Find the limit. 2 lim (2x - V4x - 3x + 2) O A. - 0 В. -2 С. О 3

A:

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

A: limx→0--4+x2x2

Q: Find the limit, if it exists.

A: To evaluate: limx→∞5x3+110x3-3x2+7

Q: lim 1-3メ) 2. X->

A:

Q: Find the limits of x² 1- lim Vx+1 -1 +x - 6 2- lim | x+3 x→-3

A:

Q: Find the limit. lim x2/(1-x) X→1 *

A:

Q: Evaluate the limit. lim (3x + V9x² – x)

A:

Q: Find the limit, if it exists. 5x2 lim +14x – 3 x→-3 2x +6 1 2 O 5 2 O -8

A:

Q: 2+x 4. lim 3x-7

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the limit, if it exists.

A: Given: limx→∞4x2+5x2+3

Q: ■ Find the limit.

A: Given: limx→∞ x2 - x4   To find: Value of the limit.

Q: Compute the limit: lim (1+3x)^(-5/x) x→0

A: We have to evaluate the given limit.

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

A: To find the limit

Q: Evaluate the limit, if it exists.

A: We have to evaluate the limit: limx→164-x16x-x2 It is 00 form, since there is square root function…

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: Determine the infinite limit. x² - 4.x lim 1+4+ x2 - 8r + 16

A:

Q: A- The result of the following limit is 2x² + 3x lim x→∞0x³ + x + 1

A:

Q: Find the limit. x2 - 8x + 15 x3 - 9x lim - 00 O 15 Does not exist 8

A: First factor the denominator and use limit of two sided limit approach,

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

A:

Q: Find the limit, if it exists. x2 – 1 8) lim X --1 x2 - 6x + 5

A:

Q: 1.) Determine the limit: a) lim vx2 + 14x + 49 x-5 b) lim (x² – 4x)³ x-1

A: Solution:To solve 1a and b1.(a)limx→5x2+14x+49(b)limx→1x2-4x3

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

A:

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: Compute the indicated limit. „2 x + 3 lim x00 x - 4

A:

Q: 7. Find the limit of 9x6 – x lim x³ + 1 .3

A: Given: L=limx→∞9x6-xx3+1

Q: x²-4x-5 B. lim ズ→5 ズー5

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

Q: Find the limit, if it exists

A:

Q: (b) Find the following limit: 4x +5 lim x+2 2x -1 (i) (ii) lim 4 x+* x* -x' +2

A: The solution is given as

Q: 10. Find the value of the limit or state that it does not exist c) lim f(x) = X2"

A:

Q: # 11. The lim,→-4 x²+ cx+c+5 x² + 5x+4 exists. What is the value of “c“? What is the value of the…

A:

Q: Calculate the limit:

A: We have to find the limit: limx→22x2-6x+1 Since this is simple determinate limit so we just have to…