If G(x) = limx→0 2f" (x-3h)-2f" (x+3h) and f(x) = Then G' (1) = 2x Select one: O 72 O -6 O 2 O -2 O -72 O 12 O -4 O None

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Q: lim X

A: Solution :-

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Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

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Q: (x² – x – 2)(2x +3). Vx² +5-V3x +3 6. lim =... .2 x2

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Q: 4x5+x³ -10 -? lim х-0о —7х5+x2+20 .3

A: Given: limx→∞4x5+x3-10-7x5+x2+20

Q: Vx-2 lim х-2+ Vx2-4

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Q: (b) lim x→91 0. Vx+9-3 x

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Q: Evaluate the following: -1 x-1(x+1) xả-5x-20 x-5 x²-4x-5' x-5 lim x-5x²-10x+25² i. lim ii. lim iii.

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

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Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

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Q: 3. 15. lim y- y+4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (3x-1)² - lim x→1 (x+1)3

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Q: a. limx→5 3 b. limx→2 7x – 4 c. limx→1 x²-1 x-1 d. limx→0 e. lim 3 f. limx→3 sin 5x X 1 (x-3) 1…

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Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

Q: lim エ→4 - V8 -x

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Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: 'Зx2 + 8х + 4) lim п--2 х2 + 3x + 2

A: Given query is to find the value of expression at indicated limit.

Q: If limz→-14+71i (z² + 28z) = + iy, what is the value of x – y ?

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Q: 2x2-V2(3x+1)+2 4. limx-1 X-1

A: Here we have to find the limit of  A=limx→1 2x2-2(3x+1)+2x-1

Q: (A) (B) ƒ(5) - ƒ(3) 5-3 f(3 +h)-f(3) h (C) lim h→0 || f(3+h)-f(3) h

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Q: Find the following: x1/3 + 9x1/5 (2х — 1)1/2 — 3 - i. Lim 6x1/2 – 4x1/4 ii. Lim x→5+ х — 5

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Q: lim = e7x- e6x/ex-1 x>0

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Q: Find the following: x1/3 + 9x1/5 i. Lim х-0 6х1/2 — 4х1/4 ii. Lim х+5+ (2х — 1)1/2 — 3 х — 5

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Q: lim 3X=12x→4

A: We can show this by substitution  We plug x=4

Q: Let f(x)=3−x2. Find each of the following: a) f(−1)−f(−6)−1−(−6)=  b) f(−6+h)−f(−6)h=  c)…

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Q: х2-2х-3 Evaluate: lim х--о (х+1)(1-х) А. —3 В. О С. —1 D. DNE Е. 1

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Q: (2х — 1)1/2 — 3 ii. Lim X-5+ х-5

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.