Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

Q: 9y - 9x Find lim (*,) → (0,0) 18 /y – 18 /x

A: Given :          limx,y→0,09y2-9x218y-18x

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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: Vx+8-3 Evaluate ' lim-1 x+1

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Q: tan-x 77. lim

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

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Q: Directions: Find the limit of the following. 1. lim(x² + 2x – 1) x→2 2. lim (x³ + 8) X--2

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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: x? – 9x3 Find Lim x-00 6x3 + 4x A. 0 В. О 3 C. -- 2 O olo

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Q: x* +x² – 1 limx→c x²+5

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Q: Find the limit is it exisit.

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Q: ()- (T I-1 lim 2x-1 |47–1

A: We have to solve

Q: 16 dx 11. Vx-1 9.

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Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

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Q: For * + 3. lim (02)-(0,0) :? O A. -2 В. 2 C. Does not exist. D. 0

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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: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

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: x + 2 3x-12 Find Lim A. B. 12 12 00 D.

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Q: x*+cx+c-10 # 10. The limx¬22- 3x+2 exists. What is the value of "c “? What is the value of the limit…

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Q: Evaluate the limit. x4 - 7x3 + 1 lim x→-00 4 – 4x² – 9x4

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Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

Q: x + x³ – 2x+1 2.x4 – 3x3 + 5x2 + 1 - Find lim Find lim (Vr² – 2x + x). r -00

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Q: 2 + 3x – 4, X 1. What is lim X-+2 2.

A: Given the limitlimx→2x2+3x-42