What is the result of the following limit? O lim 3x x→∞ √9x² 1 3 1 3 23 2|3 +∞ 4x + 4

Q: Find the value of the following limits: Vx +1 - lim x -1 /2x x2 – x lim v9 n2 – n – 3 n

A: To find  limx→1x+1-2xx2-x limn→∞9n2-n-3n

Q: evaluate the limit.

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Q: Q2) Evaluate the limit at x = -2 for: x 1 2x2 4x - 8 S(x) x² - x- 6

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Q: Calculate the following limits. t2 - 2t - 3 lim t43 (t-3)3 a) |x-5| b) lim x+5- x2-4x -5

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Q: Find the limits

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Q: 2а3— 522 —2—3 lim 4x3 – 13x2+4x–3 x→3

A: use l hospital rule for finding the limit.

Q: Find the limit

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Q: Evaluate the following limits. If needed, enter inf for -and -inf for - 6x³3x²-5x A/ 6-7x-2x³ lim X…

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Q: Find the limit

A: We have to find the limit of following expression: limx→55-xx2-25 First of all we need to check the…

Q: Evaluate the limit.

A: Given limit: limx→ 18+x-3x13x2-3x+2

Q: Find the following limit. 2x - 4 lim X→∞ 2 9x + 3 19x²

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Q: 2. Find the limit of the following functions h. 3x² + 5x - 7 lim x-00 6x² + 2x² - 2x + 8,

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Q: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

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Q: Determine the 3z 1 2x 1 2x 5 lim 00 O 00 2/4

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Q: Find the limits lim (Vr? + 25 – V² – 1) - X00

A: limx→∞ x2+25-x2-1Multiply by conjugates, we get =limx→∞ 26x2+25+x2-1limx→ac·fx=c·limx→afx=26·limx→∞…

Q: a3 + 3x? Question 3. Evaluate the following limit: lim x-3- x2 – x – 12

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Q: V +3x lim 2x+1

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Q: |r+7| 9. b. lim r-8- x2 + 7x -8, x + 8

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Q: VI. Find the following limits. 9x² +5-x 1. lim x-8

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Q: 5х - 6 5. lim x→-e-X +3 5x6 + 7x5 – x³ + 3x - 25 6. lim x→-m -6x4 – 4x3 + 12x² + 1

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Q: Compute the following limits: 2 3 3h h-2h-2 (a) lim (d) lim h-0 √h+3-√3 (b) lim x-0 12-4 -2 12+10…

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Q: (c) x³ - y³ lim (x,y)→(1,1) X-y

A: C) lim(x,y)-(1,1) (x3-y3)/(x-y) D) lim(x,y)-(0,0) (x-y-x6)/(sqrt(x-y)-x3).

Q: Find the lim (√9x² + x - 3x)

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