(2) Find the limit of the following: (a) lim 47 x2 -4 (c) lim x-1 1-x (b) lim (3x+11) X-4 x2 - 2x-63 (d) lim x-9

Q: x + 2 x 3 3

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

Q: Evaluate the limit. 3 -2 lim x>1 3 x - 1

A: Given- limx→1-3x3x-2x-1 To Find- The value of the limit.

Q: Find the limit lim x-2

A: Explanation and solutions is given below....

Q: Find the limit. lim x→-2 x2-4/x+2

A:

Q: 3x -4x b) lim X→-00 x2-2x3

A:

Q: Consider the limits. lim f(x) = 4 x-7 lim g(x) = -14 x-7 Evaluate the limit using the limit law for…

A: limx→7fx=4limx→7gx=-14To find:limx→73fx+xgx+1

Q: Use tables to determine if x²+x-12 exists. If it exists state the value of the limit. lim x→+3 x-3

A:

Q: Evaluate the limit.

A: If we substitute 2 for x in the expression it gives the form as which is an indeterminate form.

Q: find the limit or explain why it does not exist.

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: Find the limit. 3 lim x-6 5x + 2

A: The given expression is limx→635x+2. We have to find the limit.

Q: 4. lim (3+x2) X+-2

A:

Q: Find the limit if it exists. a. lim -) x→-00 5x3+1 b. lim х-0о 10х3-Зx2+7 5x2+2 С. lim x→∞ Vx2+3

A: Limits of function can be found by simplifying the function and substituting values for x as given…

Q: Find the limit, if it exists. a.   lim x-> infinity      (6x4 - 2x2 + 3)/(3x4 + x - 5) b.   lim…

A: a.   lim x-> infinity      (6x4 - 2x2 + 3)/(3x4 + x - 5) = ? b.   lim x-> infinity      (5x +…

Q: 5) Find the indicated limit if it exists. √√x+4-2 a) lim x-0 X 8x³+27 b) lim x-1.5 2x + 3

A:

Q: 1. Evaluate the limits x* +x-12 lim x-4x-21 x -9 x-1 i. lim iii. lim- ii. x-9 iv. lim 4-3x+7x* - 5x

A:

Q: 5.) Find the limit. When necessary, state that the limit does not exist. x² + 3x-18 lim Xx-3 x-9

A:

Q: 1- Find the limits: VI- lim X X-1 а. 2x3 b. lim x→ 00 3(x-2)2 2x3 с. lim x2 3(x-2)² x+1 d. lim X-3…

A: Given: )

Q: x2 + x -6 2. Use the precise definition of a limit to prove lim2 x - 2

A:

Q: 1- Find the limits: lim x→I x- 1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x-2 3(x-2)2 x+1 d. lim x-3…

A:

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

A: =?

Q: 1.5 Find the limit of the function, lim(x³ + 5x² – 7x + 1). x-2

A: Given,           limx→2x3+5x2-7x+1

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

A: limx→0--4+x2x2

Q: find the limit or explain why it does not exist.

A: We have to find the limit: limx2+5x+5x3+3x2-11x For the given condition, a. as x→0 b. as x→3.…

Q: Determine the infinite limit. x2 – 3x lim x-3+ x2 - 6x + 9 00

A: Taking the common terms from numerator and denominator for simplifying the expression

Q: a) Find the limits: 1- lim- X-1x-x 2- lím 0 V+4-2 5x 3- lim

A:

Q: 1. Evaluate the limit: 5 - x lim x→5+ (x – 5)2

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

Q: 4. Find the limit: lim (b) lim -5x+4 x-4 X-4

A: We can find the limit using the L'Hospital rule.

Q: Determine the infinite limit. x2 lim (x – 3)2 x-3 -00

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

Q: lim (x*- 2x2-3)*

A: Let L is the value of given Limit.

Q: d the limit lim X-3 x-2-1 x-3

A:

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

A:

Q: Evaluate the limit. 4x2-9 lim x→3/2 15-10x а. b. lim(x – 2) sec(n/x) | x-2

A: See the details solution in below

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

A:

Q: x-2 51. lim x-1x-1

A:

Q: Find the limit x-5 lim x→5 x²-25

A:

Q: Determine the infinite limit. x2 + 6x lim x-3 x2 – 6x + 9 8

A:

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: using  a2-b2 = (a-b)(a+b)

Q: Find the limit. 1 lim x→-3- X + 3

A: Given: It is given that the limit is limx→-3-1x+3. To find: The main aim is to find the value of…

Q: | | lim 10 - x 10 - x X - 10

A: Now left hand limit is, and right hand limit is,

Q: Find the. limit lim 11+X -3 X-2 X+2

A: Given:         limx→−211+x−3x+2

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

A: Given: L=limx→∞9x6-xx3+1

Q: Find the limit. -重班 4x + 4 x² + 2x lim x-2+ Does not exist 4 O- 1

A: Find the limit

Q: How do you solve question 3 and 4?

A: Given limit is

Q: 1. Find a) lim b) lim x→3* 3-x c) lim=-, d) the vertical asymptote of f(x)=- x→33-x 3-x

A:

Q: Find the limit, if it exists. X- 3 8) Find: lim x-3 x2-3x

A: finding the limit of function when x tends to 3.

Q: 6 Find the value of a such that 2x2 - ах — 14 lim х-1 х2 — 2х — 3 exists, What is the value of the…

A: The limit of a function at a point 'a' in its domain is the value that the function approaches as…

Q: the limit is negative infinity enter "-INF". x2+4x-12 lim→2 x2 –4 x2 +4x–12 lim→-2 x² –4 x2 +4x–12…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) X - 3 lim X3 x2 - 6x +9

A:

Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

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.