Limits of quotients Find the limits : x + 3 23. lim x-5x? – 25 24. lim x-3x? + 4x + 3 x² + 3x – 10 x² – 7x + 10 26. lim 25. lim x + 5 1² + t – 2 12 + 3t + 2 27. lim 28. lim t--1 12 – t – 2 5y³ + 8y? 16y² -2x – 4 29. lim x-2 x + 2x² 30. lim y→0 3y*

Q: 1. Lim 2 x+3x+1 7x²-2x+4

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Q: V1+x – VT– x lim ||

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Q: lim x→∞ 8x³2x²: 9-3x - 2x² 8x³ - 2x² - lim x-∞ 9-3x - 2x=

A: We have to find the limit  according to the given information

Q: Va² +1 vAx² –1 V4x² – 1 lim det 2x

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Q: Vx² + 12 – 4 33. lim x-2 x-2

A: Explanation of the answer is as follows

Q: 13x-15x Evaluate limg→∞ 27x²–30x+6 6 27 27 13 13 27 13 6

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Q: 2z 4z +9 Find lim, oo 00 3z2 8

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Q: lim, 6 8(x – 5)(x – 7) Answer: -8 4x2-9 lim3/2 2x+3 Answer: 0

A: The value of the given limits are –8 and 0 respectively.

Q: 2 lim y² - 7y + 12 3 y → 4 y - 64 1 48.

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Q: 2vx +x=1 lim X→00 Зх — 1 zero infinity another answer

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Q: lim

A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: 2x2 The value of lim will be ... (x.y) → (0,0) X² + y?

A: To find the value of the given limit we will consider a path y = mx.

Q: Vx²+3 3. lim

A: Here limit is present in infinite by Infinite indeterminant form.

Q: XVI+T(1-V2x+3) 7-6x+4x Compute lim

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Q: 2.x2 + x – 2 7. Compute lim Justify your answer A number is not 7x2 – 3x +1 enough.

A: The objective  is computing the above limit.

Q: If y = vb2 + x2 and y + Ay = Vb² + (x + Ax)² , what is the lim Y ? Ax0 Ax Select the correct…

A: Given, y=√(b2+x2) Δy=√[b2+(x+Δx)2]

Q: poge( a). liun +3x=12X+4 x4X

A: The value of the limit is, (3/2) The detailed solution is as follows below:

Q: t-15 - 3t + 45 Find lim Nt +85 –10 -t+15

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Q: - lim V12 - 31-3

A: When limit is of the form 00 or ∞∞, then L-Hospital rule is used. In this rule, we take the…

Q: The value of lim (x³+2x4- 7x3- 5x²+ 11x – 15) X--2 (A) - 1 B) 1 2 (D -5

A: We need to evaluate limx→-2 x5+2x4-7x3-5x2+11x-15

Q: Find the limits

A: Given, limv→2v3-8v4-16 v3-8=v3-23x3-y3=x-yx2+xy+y2v3-23=v-2v2+2v+22…

Q: Find the limits by rewriting the fractions first.

A: Given  lim(x,y)→(2,-4)y+4x2y-xy+4x2-4x

Q: 3x +1 lim 2 - 2x +4 I-00

A: Given,          limx→-∞3x+1x2-2x+4

Q: 20x2 – 3x Calculate lim x→0 ° 3x5 – 4x2 +5

A: It is given that, limx→∞20x2-3x3x5-4x2+5.

Q: g. lim 6t²+t-5 t-∞ 9-2t²

A: lim          (6t2 + t -5)/(9-2t2 ) t -->-∞ here question is of limit  and here we have to divide…

Q: x2-2x4メ4x Lim (X-1)²+ y2 2 2 .

A: Solve using  properties of the limits