Find the following limits: 3x2 + 8 (a) lim -4x² + 5 x6 – 3x4 – 2 - (b) lim x4 – 3x + 1 -x2 + 2x – 7 (c) lim sin 2x5 – x3 + 2x

Q: x +1 lim Vx2 + 2x +3

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Q: Find the limit. lim x→-2 x2-4/x+2

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Q: Find the limit. x2 - lim x3 -x 3x+2 x-0+ Does not exist 8.

A: This question is based on Limits.

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

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Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

A: We have to find the limit

Q: find the limit or explain why it does not exist.

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: Evaluate the limit: 4x + 4 lim x -1 x2 -2x-3 %3D

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Q: Find the limit. 3 lim x-6 5x + 2

A: The given expression is limx→635x+2. We have to find the limit.

Q: Find the limit. 3) lim Vx2 + 5x - Vx2 - 3x X00

A: To find the given limit.limx→∞x2+5x-x2-3x

Q: Evaluate the limit: x² +6x+8 ]im as x – – > - 4 lim x-4 x+2x-8 2 x ^ 2+ 6x + 8 divided by x ^ 2+ 2x…

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Q: Find the limit if it exists. Lim -2 (3x° + 2xª – x² + 7x – - 3)

A: For the following limit,

Q: Find the limit. lim x→3 1−x2/(x-3)2

A: Given, The limit limx→3 1-x2x-32  We have to find the limit.

Q: х-V4х+5 1. lim х-5 х2-25 1 4 2. lim х--з+ \x2+3х-18 7x2-11х-30,

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Q: Find the limit: Vx – 14 lim x → 196 196 - Give an exact answer or keep at least three decimal…

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Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

Q: Find the limit. 2 lim (2x - V4x - 3x + 2) O A. - 0 В. -2 С. О 3

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Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

Q: Evaluate the limit. 3x3 – 5x² + 1 lim 00-X V2x6 – 4x + 3

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Q: Evaluate the limit: 6x 12 lim I> 2 r2 + 3x 10

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Q: Find the limit. . lim 2x²-x-3 X-1 x+1 . lim 2+h-vZ x-5 E lim x-5+ x2-25 . lim o. f (x) = fx³ +3 lx -…

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Q: V2x -1 Using defination of limits, prove that lim Jx- 3 L^ = x4

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Q: lim (4x – V16x² + 3x – 5 (4* Зх — 5 00-x

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Q: Find the limits of x² 1- lim Vx+1 -1 +x - 6 2- lim | x+3 x→-3

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Q: find the limit or explain why it does not exist.

A: We have to find the limit: limx2+5x+5x3+3x2-11x For the given condition, a. as x→0 b. as x→3.…

Q: Find the limit. lim              x2+5/5x3-2 x→+∞

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Q: Find the limit. 5) lim /2x + 5 5) x-6

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Q: find the limit or show that it does not exist for lim x→−∞ √4x2 + 1 / 2x + 5 .

A: limx→-∞ 4x2+12x+5 = limx→-∞ x4+1x2x2+5x                                =limx→-∞ 4+1x22+5x…

Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: Find the limits: Vx - 1 lim х>1 х — 1 a. 2x3 b. lim х- оо 3(х-2)2 2x3 с. lim х-2 3(х-2)2 x+1 d. lim…

A: Since there are multiple questions posted, we will answer the first question (1). If you want the…

Q: what is the lim x->0  f(x)-f(0)/x^2 if f(x)=2x^2+1?

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Q: Find the limit. lim (3x2 + 2x + 1) X-3

A: Given that :-          limx-> -3 ( 3x² + 2x + 1 )

Q: Find the limit. -7x + 5 lim Vx2 + x X→-0

A: Given limit, limx→-∞-7x+5x2+x

Q: Find the limit. 4 lim x→-2+ x + 2

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Q: Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

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Q: Find the limit. Vx +7-4 lim X-3 X-3

A: limx→3 x2+7-4x-3

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: A) Find the following limits (for two only). x+1 1. limx-12-x-2 1-V 2. limx-1 1-x 2x 3. limx-0 2x2+x

A: Find the following limits.

Q: Evaluate the limit 5 + 2x lim 8 – 8x x → 0

A: We haven the function is: f(x) = (5 + 2x)/(8 - 8x)  Dividing the numerator and the denominator by x…

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: Find the limit or show that it does not exist. Vī lim 1+4x6 2- x'

A: To find the limit: limx→ -∞ 1+4x62-x3

Q: Find the limit. /x² +3 - 2 lim X- 1 X1

A:

Q: Find the. limit lim 11+X -3 X-2 X+2

A: Given:         limx→−211+x−3x+2

Q: 5, evaluate the limit. 2x3-x 5) lim X0 x2+3x-1

A:

Q: (b) Find the following limit: 4x +5 lim x+2 2x -1 (i) (ii) lim 4 x+* x* -x' +2

A: The solution is given as

Q: Evaluate the limit. x2 + 2x – 15 lim- x – 3 X-3

A:

Q: Calculate the limit:

A: We have to find the limit: limx→22x2-6x+1 Since this is simple determinate limit so we just have to…

Q: 7. Evaluate the limit: 9x2 -2 lim 2 3x 2 x-3

A: To evaluate the limit:limx→239x2-22-3x Solution: It is 00 form. We will use L-hospital rule. In…

Q: find the limit if it exists at infinity lim=5x^2+7x-9/-6x^2+2

A: Given, limx→∞5x2+7x-9-6x2+2

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.