Let x24 x-2, 2 f(x) V124 x, 24

Q: x + 2 x 3 3

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

Q: x2 Evaluate the limit: lim 3x – 40 - - x →8 x – 8

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Q: 3x -4x b) lim X→-00 x2-2x3

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

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Q: x² +2x - 3 Evaluate lim -5x?

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Q: 9. lim x→-3- x² - 9 Vx - 2 10. lim х>4- х — 4 x→4- 11. lim x→0¯ X

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

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: 5. a) Explain why lim vx-3 does not exist. b) What about lim V(x 3)2 ?

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Q: Use algebra to evaluate the following limits. x-6 a) lim x6 3x² - 12x - 36 x² + 2x² + 7x 4x b) lim…

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Q: 3 a) : Evaluate the limit, if it exists. 2+√√√x lim x+4 4x + x² b): Evaluate the limit, if it…

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

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Q: Suppose that lim f(x) = 3 and lim g(x) = 5. Then lim g(x). %3D %3D X2 X2

A: Given: limx→2fx=3 and limx→2gx=5. To find: limx→2fxgx2+2fxgx Solution: Product rule of limit states…

Q: Exercise To Try 3 Determine the limits lim 2-a X→1 (x–1)2

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

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Q: What is lim f(x)? X-1

A: Given graph: To Find: limx→1f(x)

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

A: A limit limx→afx exists if its both left-hand and right-hand limits are equal and finite. The…

Q: Let f(x) = 3x + 2. Use the € – d definition to prove that lim 3x +2 1. x→1 Definition. E-d proof.

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Q: a. Using the Sandwich Theorem to find: lim f (x) If v5 – 2x2 <f(x)< V5-

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Q: find the limit or explain why it does not exist. 1 1 2 + x lim 2

A: limx→o12+x-12x

Q: find the limit or explain why it does not exist. x'/3 – 1 lim iVx – i Vx – 1

A: The given expression is limx→ 1x13-1x-1

Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

Q: 3x2 lim 6. x→(-2) 2а — 8 x² – 4

A: As per Bartleby guidelines rule I am answering only first question as both question is different and…

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 value of a such that lim I--2 3x² + ax + a +3 x²+x-2 exists. Justify your answer.

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: 3. lim (x-8) ギーー7

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Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

Q: Evaluate the limit. x2 + 4 lim x→1- X - 1 x +1 lim x2+ x2 + x - 6 -

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Q: Find the limit lim_ (금) (부) () = x+6 X - 1- x +1 7 X

A: We need to evaluate the following limit limx→1-11+xx+6x3-x7

Q: x² -81 lim X-9 Jx -3 1 lim x→0 X

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Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. Show all work! 2x 1 lim…

A: Given: limx→0.5-2x-12x3-x2 We have to find the value of the given limit

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

A: Given : limx→012+x - 12x

Q: x²+12x a) lim x→-2 4x²+5x-6

A: We will use L hospital rule.

Q: Find the limit or show that it does not exist. lim x→infinity   x^4-3x^2+x/ x^3-x+2

A: Given information: limx→∞ x4-3x2+xx3-x+2

Q: 8) Find the following limits. x²-49 a) lim x-7 X-7 b) lim x - 3 x-3

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→10+ 10 − x x2 − 100

A: To Find: limx→10+10-xx2-100 Concept: i. limx→a+fx=limh→0fa+hii. x2-a2=x-ax+a

Q: Find the limit. 1 1 x-2 х-2 x+2 lim

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Q: Evaluate the limit |x – 1| lim x→1¯ (x+ 1)(x – 1) 00 The limit does not exist and is not equal to…

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

Q: Evaluate these limits (show your work, and use L'Hopitaľ's Rule on the first one): · Inx lim x1x2-1…

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Q: Find the limit, if it exists. If the limit does not exist, explain why. 2x + 12 42. lim |x + 6| x→-6

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Q: 4. Evaluate the limit if it exists. Use proper notation. 3 - VI (а) lim x9 9x - x2 (b) lim xe

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Q: Find the limit. lim f(2) -4 a. (x) 2-2 Use Table method

A: We need to find the limit using tabular method. limx→2fx   where  fx=x2-4x-2

Q: x2 X tet tx et + 1 A. lim x 2 B. lim - 3-1 2 - C. lim x⇒1 x² + x 2 x² - 1 Remember that if you…

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Q: Find the limit or show it does not exist. 1- x2 х3 — х +1 16. lim -

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

A: To evaluate the limit: limx→02+x3-8x We can find that it is 00 form. We know that if we have 00 or…

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: Use continuity to evaluate the limit. 12 + Vx lim x-4 V12 + x

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Q: Does the limit |r +1| lim 1-1 r+1 exist? If yes, find its value, if not - explain why. Show all the…

A: We need to show that limx→ -1x+1x+1 doesn't exist. So,               limx→ -1+x+1x+1x+1 is positive…

Q: x² – 1 lim x→1 /x – 1

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Q: 2. What are the following limits? (a) lim x3 (b) lim x3 x -00 (c) lim x* x -00

A: Our Aim is to write the following limits:-(a) limx→∞x3(b) limx→-∞x3(c)  limx→-∞x4

Q: Evaluate the limit. (4+x)-16 lim 0. 0. 8. 0. -16

A: a2-b2=(a-b) (a+b)