x² +2 if 03 a. lim f(x) b. lim f(x)

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

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Q: 1) lim x-5 x² – 5x 2) lim x -5 x+6-1 x+5

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Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: - «) lim (2 – ez x→0

A:

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

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Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

Q: с — 2 а. x→0 x5 – 43 х — 2 lim- b. lim x→2 x5 - 4x3 х — 2 С. lim x→-2 x5 4x3

A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞

Q: х3-x2-5х-3 (х+1)* (iii) lim x-1

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Q: 9. lim- x→0 3 - Vx+9

A: we use l hospital rule to evaluate the limit.

Q: Find the limits

A: Given Data The limit is limx→-32-x2-5x+3.   Solve the given limit expression,…

Q: 2x -cos(2x)- 2x - (b) lim | x2

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Q: 4. x- 1 lim x- Vx + 5-3

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Q: If lim f(x) = 15 and lim g(x) = 25 then x5 x5 lim 3f(x)g(x) –- 6] = x5

A: Given that limx→5 fx =15  and limx→5 gx=25 find limx→5 3fxgx-6=?

Q: (a) lim n-0 2 – ni x² – 4 (b) lim x + 4 x² – 4 (c) lim x – 2

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Q: a. Find the Domain for y = = /4 -x + ! b. For what value of (k) is the function y-f(x) continuous at…

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Q: f(x)= (x^2-2 where, x/=4). Calculate: lim x-4^- f(x)

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Q: Discuss the continuity of the function.

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Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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Q: lim x---q (1 + 2f (x))

A: To evaluate the limit: limx→ q1+2fx

Q: Зx2-х-64 17.lim х-4 х2-х-12 10х2-7 18. lim х-о Зx2-х-12 х3-81 19. lim х-0о Зx2+4x+2

A: We will solve the problem.  L.Hospital Rule will be used in the problem.

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: lim x yields to 1  x-1/(square root of 4x +5)-3

A: As the given limit is not legible, the limit is computed in 2 cases. Obtain the limit as follows.

Q: 2) Find lim f(x). X→1 f(x> X 2. 2.

A: here      limx→1- f(x)=1    and            limx→1+ f(x)=2 here                            limx→1-…

Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

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Q: lim (2x-5x) is x--2

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Q: lim x---q x2/2x

A: limx→ qx22xPlug in the value x=q=q22q=q2

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

Q: 5. lim V2x +1 X-4 6. lim -) ズー1 x-1 CABA 3x+4 if x <-3 AT 7. lim f(x), where f(x) = 2-4 ifx2-3

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Q: x² - 225 = 30 Give an ɛ-ô proof of lim X- 15 X→15

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Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

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Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: a) lim- 1 3x +x+1 -x +5x b) lim f(x) where f(x)={ (4x xs2 3x x>2 sin 2x c) lim g(x) where 2+x < g(x)…

A: alimx→∞−x2+5x3x2+x+1Divide and multiply by x2limx→∞x2−x2+5xx2x23x2+x+1x2limx→∞−1+5x3+1x+1x2=−13

Q: √2+x-√2-x X lim- --0

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Q: If lim f(x) = 11 and lim g(x) = 26 then x→6 lim[3f(x)g(x) – 6] x→6

A: We first distribute the limit…

Q: X-V2x+3 If f(x) = *-v2x+3 Solve to find lim f(x)? X-3 X3

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Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

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Q: 4x-x2 lim- x-4 X-Vx 12 O 16 O 11 O 13 O السؤال 7

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Q: x² + 1 x – 1' if x -1 | бх — 4 3x² + 4x 1 O Evaluate: lim x2/3 + Зх + 2 4

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Q: f(x) – 5 - a. If lim 3, find lim f(x). х>2 х — 2 - 2 x→2 f(x) – 5 b. If lim x→2 X – 2 4, find lim…

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Q: lim f (x), where f (x)={18-7x for x<9                                    ={x2-3x for 9 less than or…

A: Explanation is given below..

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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

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Q: 1. lim (x - 2r)

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

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.