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

Q: X- 2 sin 5x 1. lim x2 x-4 2. lim 70 5x2-3x x'-1 4. lim 114r 3. lim X00 7x + 1 7)

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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: 9. Lim 6x - Sin 2x メ→0 2x +3sin 4X b. lim x²-1 1/2

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Q: 46. lim 2x-3 47. lim x-4 3x'-5x +7 8+2x-5x x-2 48. lim 49. lim x+3 50. lim +2

A: 46.

Q: 7. lim -3 x-9 x-9 (1+h)²-1² 8. lim h-0 h Final Answer: Final Answer: 9. lim -2r-15 (Зх-2)2- (х+2)2…

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

Q: 1. 2. 3. lim 2 tan () lim – () 2-16 (x²–16 x+2 lim х -3 х-2 x →4 2 4. 7. x2 -7x+12 5. lim x →4…

A: Limits are given, we have to the find the given limits

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: | Page 3 Question 4 (a) Find the following: x/3 + 9x/5 i. Lim- X-0 6x+/2 – 4x+/4 (2x– 1)-/2 – 3 ii.…

A: The given limit is in 0/0 form, so we can use the L'Hospital's rule

Q: Question One: (i) If lim- 3x sin (ax) = 5 = lim- tan (2x) find the values of a and b. x-0 x-0 bx-x

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Q: 1. lim 13m45 – 6m12 + 100m - 42 x2 - x-6 2. lim I-2 x2 – 2 6 - x + 3x2 3. lim 2л - 4

A: 1. limm→∞13m45-6m12+100m-422. limx→-2x2-x-6x2-23. limx→-∞6-x+3x22x-4 Note:   There are multiple…

Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

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

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Q: 16. lim (2 – 3x) = –4 x → 2 %3D - 19. lim (1-3-) -- 3 20. lim 2 = 7 x → 5 21. lim x2 – 2x – 8 = 6 x…

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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: x-5 s x2 - 25 x² + 3x- 10 x + 5 19. lim 21. lim 2 +t-2 23. lim -2r - 4 25. lim X-2 x +2r? 27. lim…

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Q: x² - 4 3 X-2 x³ -x-6 1. Lim 1 X-0 X 2. Lim sin x

A: We have to find the limit of the given function. Here we use L hospital rule .

Q: (а) 1- cos 4x lim x? x-0 5-х (b) lim- 45 Vx-1-/2x-6 312 -t- 2 lim 1² -1 (с)

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Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

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Q: бх — 1 x + 6 Let f (x) Find f' (x). First set up the limits and simplify the first one. Using…

A: We are given the function f(x)=6x-1x+6. To evaluate the derivative of this function we will use the…

Q: Question 16 Suppose that b is a constant such that x3 + bx + 2 lim -1 (x – 1)2 l, %3D where l is…

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Q: 3. lim Vx+3x + 6 X-2 -1.9 -2.1 -2.01 -2.001 -2 -1.999 -1.99 fx) . lim X--2 x+3x + 6 =

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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: 1 2. lim,x

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Q: 1. 2. 3. () ) lim lim 2 tan lim (x²–16) x+2 - x →4 4-x х -3 х-2

A: Note : According to our answering guidelines we have to solve only 3 sub parts (if multiple subparts…

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

A: Given :

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: 17. lim (2x+1) = 5 x-2

A: I hope the question is to prove that the limit is equal to 5.  The answer is in step 2.

Q: (2-4)² limx-1 sin(x3-1) x-1

A: by using limit algebra and L' hospital rule

Q: cot a 1. lim -0- CSC 3 2. lim e2r - 4 3. lim ln 2 r - ln 2

A: To evaualte the following limits by L'Hospital's rule. 1 limx→0- 1-cot xcsc x2 limx→+∞ 1-3x2x3…

Q: 1 1 X sin x+sin 2x Q3/ Find the value of (x) if5 -2 1= lim 3x -1 1

A: See the attachment

Q: QUESTION 9 x²y along the path y =3x2. Find lim (x.y)-(0,0) x+y?

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Q: 1. Find lim an 3(x+h)-tan 3x A. 3 sec 3x tan 3x B. sec? 3x C. 3 tan 3x D. 3 sec2 3x

A: limh→0 tan3x+h-tan3xh So here fx =tan(3x) Now we need to find derivative of fx with respect to x…

Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

Q: 1. 3. 8x lim *0 5 х— 7 4х+1 lim 3 2 +2 x +x+ 27 lim 2 X-7 X-0 2 X - 4

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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: (a) (i) Lim  5x −3 − 4/ 2x −2 + 9  x→∞  (ii) Lim      (x − 3) 2/x2/2  − 2x − 3      x→∞

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Q: QUESTION 6 Choose the most correct answer from below lim x+1 X-1 Does not exist None of these.…

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Q: 5 15 lim z00 10 x13+26 x15 Number Show your work and explain, in your own words, how you arrived at…

A: L=limx→∞(5x1510x13+26x15)dividing N and D by…

Q: Question 4 If f(x) = 2x + 5, then using L'hopital's rule lim 0-70) S(x)-1(0) is X+0

A: If f(x)=2x3+5 , then find the limit of (f(x) -f(0))/x3 when x tends to zero.

Q: Question 1 Vx-2 x->4 x-16 i. lim ii. lim lx-5 1 x->2 x+x-25 iii) lim (Vx +x - x) X->00

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

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 1 x²y along the path y = 3x2. Find lim (x.y)- (0,0) x+y2

A: The limit is, 3/10  The detailed solution is as follows below:

Q: 10 sin(0-5) Find lim 0-5 02-20–15

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Q: Use formal definitions to prove the limit statements in Exercises 95–98.

A: We know that in a fraction, as the denominator becomes greater while keeping the numerator the same,…

Q: х2 — 25 а) lim x→-5 х2+ 2х - 15 х2 — 4х — 21 b) lim х>-5 Зx2 — 17х — 28 х2 — 2ху lim c) (х,у)-(2,1)…

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