Question 6 x4 – 16 The lim x+2 x3 -8 can be transformed to (x2 + 4)(x + 2) (A lim x+2 x2 - 4x+4 (x2 + 4)(x + 2) lim B x2 + 2x+ 4 X+2 (х- 2)(x2 - 4) lim x2 – 2x+4 (c) X+ 2 (x2 + 4)(х- 2) lim D x² + 4x + 4 X+ 2

Q: Problem 7.2.5. Prove Theorem 7.2.4. Theorem 7.2.4. If lim an = a and lim b, = b, then lim (a, + b,)…

A: We have limn→∞ an = a ,   limn→∞ bn = b. We need to prove that limn→∞ an + bn = a + b.  That is, we…

Q: 5x - 1 Let f (x) = %3D X +3 Find f' (x). First set up the limits and simplify the first one. Using…

A: The function given is: fx=5x-1x+3 a)-…

Q: 4x +1 - 3 To evaluate lim X- 2 -, this has to be transformed. Which of the statements below is…

A:

Q: 22-4 The value of lim is x-2 x2+4 O 1 O -1/2 -1

A: Limit of the given function can be computed directly as the function doesnt have any discontinuity…

Q: 8 x2 -73 x -70 lim x-10 X- 10 x3 - 64 lim X - 4 X- 4

A:

Q: (2n +1) (п -1) (4n +1)(2n – 3) Evaluate lim

A: limn→∞ (2n+1) (n-1) (4n+1) (2n-3)-(i)Taking 'n' common from numerator and denominator, we…

Q: QUESTION 2 Evaluate lim " QUESTION 3 Clearly illustrate with explanations why lim 100 0.01F g(x) x-0…

A: We have to find limit

Q: Question 1 a. Evaluate. i. ii. i lim X0 (-81+(x-9)21 (16-x2) lim X→-4 16+4x/ lim x→0 3-Vx²+9 2

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Q: Question 3 Let x – 1 2? – 4x + 6 if x > 2. if x < 3 f(x) = { Determine 3.1 lim,+2- f (x). 3.2 lim,2+…

A: The given function is -  f(x) = x-1if x&lt;3x2-4x+6if x⩾2We have to find the following - (a)…

Q: QUESTION 6 | 16-ydy can be eliminated by applying lim t+ -0 6-ydy The infinity in the O True O False

A:

Q: Question 8 = 1 and lim,→a g(x) |8(x) If limx→a ƒ(X) = 0 then, we must have limx→a [f»]«® = 1 True…

A: We are authorized to answer one question at a time ,since you have not mentioned which question you…

Q: 12. lim [(x - 5) - 3x] isHOS HOH 3O a. lim (x - 5) + lim 3x b. lim (x - 5) COR x-5- lim 3x lím 3x d.…

A: NOTE: As per our guidelines, we can only solve three subparts. If you want the answers of rest of…

Q: Question 28 1-x2 Evaluate lim x²– 2x-1 A 1 B None of the given choic

A: We have to choose the correct answer from the given option according to the given condition

Q: U Problem 5: (a) Evaluate: 6 x cos(5a+ 2) lim x-0 9x- 4 (Hint: The squeeze theorem may be helpful.)…

A: Given limit

Q: Find

A: Given that limx→∞ 5x2+8x-33x2+2. Compute the limit as follows.

Q: - e2 +e-3x 6e4z – e2z +e-3z Given lim 200 7+ e4r – 2e3x = 6, to find lim as discussed in 7+ e4x –…

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Q: Question: 3 3- 19-2x+ x² a. Evaluate lim X

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Q: Question 9 Evaluate: lim 0 2x 222. None of the choices 1 2 0 -1 +x

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Q: Question 7 of 10 Evaluate lim 2-2 0 x-2 5x-2-√√/2x+4 / Ə

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Q: Determining limits analytically Determine the following limitsor state that they do not exist.

A: To Determine: find the limits  Given: we have                     a)…

Q: 4х — 1 x + 5 Let f (x) Find f' (x). First set up the limits and simplify the first one. Using…

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Q: 4 x + x – 10 Given the function g(x)= 13 x2 – 4 (a) Give all values of x which are NOT in the domain…

A:

Q: Calculate the following limits using the factorization formula

A: Given: The expression of limit as limx→2x5-32x-2, To determine: The value of given limit using…

Q: Question 4 x3-8 :- If fx)=x-2 If x1. x+1-

A: Given :

Q: 12. 13. 14. √2+6-√√6 Т lim I-0 LIMIT VALUE: lim 2-1 LIMIT VALUE: Т lim 3 2-8 V 11-2z LIMIT VALUE:…

A: limx→a f(x) =L if and only if limx→a+ f(x) =limx→a- f(x) .

Q: Зx2-17х + 20 lim х—44х2 — 25х -36 А. — 1 is - 1 В. — 2 С. 2 D. 1

A: We have to solve

Q: +64 1. lim (3x-x² + 2) = 6. lim X-3 X-4 4x+16A 2x2-x-3 x+1 2. lim 7. lim X-1 х+1

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question 1 1 lim z5 X-5 0-

A: To find the limit (x tends to 5) 1/(x-5)

Q: 3( 1 x-0 x5+x 5-x А. -6/25 В. 625 C. -2/5 D. does not exist lim

A: we have to evaluate the limit

Q: 1. 1. 8-3 1 Evaluate lim 1 6-3r 9. Enter an exact answer. Provide your answer below:

A: SOLUTION-

Q: 9- 9 – x+ z* lim (1) *→2 x-2 x +x-6 lim . X00 (2) x-2

A:

Q: 5. 6. 7. 8. √√x-1 lim- x-1 x-1 x³-x²-x+10 lim X4-2 x²+3x+2 2x²-x-3 lim x-1x³ + 2x² + 6x +5 lim…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 1 1 # 7) lim X-2 *- x+2

A: Topic - limits

Q: Question 1 (a) Limits of functions are evaluated using many different techniques, such as…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Question 21 (x- 1)², x<2 Show that f (x) = { x, 23 x <4 is discontinuous at * = 2. 5 - x, x 2 4 (A)…

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Q: Question 16 3 Points f (x) – f (2) The value of lim if f (x) =2x²+1 X-2 x- 2 А B 4 8 D) does not…

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Q: Question 11 7 Evaluating lim yields an answer of_ x 2 +3 x - 4 x-1- x+3 (A lim (x- 1)(x+ 4) X+1- X-…

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Q: Question 3: Show that 5xy² lim (x,y) (0,0) x² + y² does not exist.

A: To show that- lim(x,y)→(0,0)5xy2x2+y4 does not exist. Here we will find limit along the curve x=y2m…

Q: Question 10 X-2 lim (- x-1 x+4x-3' O A 00 OB. 1 OPNone of the above is correct OD.

A: We have to find the limit.

Q: Question 2 Use the e - 8 definition to prove that lim (x,y,2)→(-1,2,-3) – 4y – 3z = -1. 2.x -

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Q: r-21 4. lim 842 -2 1.9 1.99 1.999 2.001 f(x) 2.01 2.1 1x-21 lim X-2 X-2

A:

Q: Question 4 2 -Vx+1 The value of lim is the same as x- 3 x+ 3 1 - lim x+ 3 Vx+1 + 4 A B None of the…

A: The given expression is limx→32-x+1x-3.

Q: Question 6 6x2-8x+12 Evaluate lim 2>∞ 13x³ 5x2 5x2-9x-27 6/13 ed Infinity Infinity тer

A:

Q: II. Evaluate the ff liimits if it exists Vx - 2 5. lim x->4 x-4 1 lim (3x² – 7x +2) X-2 x² -9 2. lim…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: (-x – 8 1-2² – 4x – 4 I-1 ] Check whether lim, -1 f (x)exists or not, where f (x) =

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Q: 21. 22. 23. 24. 25. lim xcscx is x10 (A) - 88 2x² +1 lim X41 (2-x)(2+x) (A) - 4 |x| lim x10 (A) 0 1…

A:

Q: Let ƒ(x)

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: Question 3 5" + 4" 2021- 5" lim n 00 T

A: we have to find the limit of the given expression