31. lim (x2- 1) 3 -2

Q: Calculate each of the limits in Exercises

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

Q: 42t lim t+0 4 - 1 - 1

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Q: 1 1. lim In (x- 2) x-3 X-3+

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Q: Зх-7 (1) lim x--o V4x2+x-11

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

Q: 2 |11x - 36x + 9| Determine lim х>3- 9х — 25х-6 9х -25х- 6

A:

Q: 2х + x 1. lim

A: Consider the limit  limx→02x+xx

Q: evaluate the limit.

A: Given  it can be written as

Q: 2 Compute limx→16; 1-x2 1 X-1

A:

Q: 2. 5 Lim X: CSC JZ% メラ。

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

Q: ■ Find the limit.

A: Given limt→∞t+t22t-t2

Q: Compute 1) Lim X-3.9טTX 2) um X-71T sin x TT-X 3) um -X. X2-X-6

A: (1) The given expression of limit is

Q: 1 4. lim %3D x→0 x²(x + 7)

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Q: c. lim In³ x

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Q: 1 b. lim ,5 x-0

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Q: Show that 4z2 z2 +1 1 (b) lim- z→1(z – 1)3 (a) lim : 43B = 00; (c) lim = 00. - - z(I – 2) 0+2 I- 2…

A: We will use the simple calculations using some usual formulae to evaluate these limits.

Q: 4 Find lim х — 4 Væ – 2 x→4

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Q: b. limx-3= In(x-2) %3D X-3

A:

Q: lim In(x+3) 4) 1

A: Evaluate :     limx→∞ln3xlnx+3

Q: Find the limit.

A:

Q: .2.4 lim (z,y)→(0,0) x² + y?

A: follow next step

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

Q: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

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Q: lim In(x2 + y?) (x,y)-(0,0)

A:

Q: 5. Find lim X00 ex2

A: given , limx→∞x3ex2 we have to find limit of given function

Q: 2x? – x +3 compute lim- x>* x - 2x +5

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Q: 2-y lim 7+ 6y² y-

A:

Q: Find the limit.

A: Given the limit: limx→0 4+x-2x

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: 4ー npaメ lim メ-2

A:

Q: 12-x-x 1- Prove that lim -7 %3D x-3 V6+x-3

A: our objective is to find the limit

Q: 5. Evaluate: lim, 0 2x- x2 sin a 1 Does not exist 2.

A: lim (2x-x2)/sinxx→0

Q: (4+ 43) (x + 43) -(16 + 43)x limy→ -43 limx. x + 43

A:

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

Q: х3 — а3 lim х--а х4 — а4 x-a

A: Given  limx→ax3-a3x4-a4   We have to evaluate the limit.

Q: 7) Show that lim = 1. 200 (z-i)3

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Q: -11x lim I+00 11 + 2x -1 6x – 12 lim 1-00 r3 + 9x – 14 ,2 lim x→0 12 – 15x? V2² + 15x lim 5х — 13…

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Q: 19. lim x→2- x² – 4 eas y + 6 21. lim y→6+ y2 – 36 -

A: Given that limx→2- xx2-4 limx→6+y+6y2-36

Q: 2,,2 x²y² lim (x.y)→(0,0) x4 + 3y4

A:

Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

Q: 4. 21. lim 2+ Vx

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Q: 1. lim ux-121 X-3

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Q: 1) Evaluate lim(2x + (x – 3)²). x→3

A: NOTE: Refresh your page if you can't see any equations. . execute the limit by taking x=3

Q: 9 – y². |-(16 * 10)x – (4 * 10) lim . -] + lim y--33 + y x + 10 x--10

A: Given,            limy→-39 - y23 + y + limx→-10-16*10x-4*10x + 10

Q: Find the limit

A: Given

Q: 1 lim In csch (1– 2x,

A: Let L is the value of given Limit

Q: 3. Prove lim 3x-7= 2 X-3

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Q: ni eoulav sd no 2x + 5 13. lim x→-2+\x + 1八 +x ber

A:

Q: 3+2r lim エ→0 =?

A: Given , limx→03x2+2xx

Q: 2. Compute lim x" (1 + x)* – e). 1/x x→0

A: