Evaluate lim,→1 ( 고-교) 2 x-1 x² –1.

Q: Evaluate the limit. 2² 4x+3 lim,>∞ 3x³ - 2x+3 01 O 1/3 0:3

A: Given: limx→∞ x2-4x+33x3-2x+3  To find: Value of the limit.

Q: If -x2 - x + 1 ≤ g(x) ≤ x2 - x + 1 for all x does not =0. What is the lim x-----> g(x)?

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Q: Evaluate lim -2x csc (-5x). Submit an exact answer.

A: We can find the limit as below

Q: Evaluate the limit. 1 1 lim x--4X + 4

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Q: Evaluate the limit: lim vx2 - 4x - 5 X-5

A: We have the given term as limx→5x2-4x-5

Q: Evaluate the limit: limx→0 √6x+64−8/−4

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Q: lim (x3 +x

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Q: Evaluate the limit.

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Q: What is lim 2 (x - 2)

A: Given

Q: x2 – 21. lim 2x - 8 = 6 -

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Q: Evaluate the limit. 23-9x lim 3x2-6x-9 0. -9 3 1/9

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Q: Compute the limits that exist. lim x---8, x2 + 64/x - 8

A: The limit of a function limx→Xf(x)=Y means that value of  function fx can be as close to Y by making…

Q: Evaluate the limit: a3 lim - 125 - a →5 a – 5 -

A: Given the limit :

Q: What is lim,+4 -32-4, R-4

A:

Q: Evaluate the limit 6x 2x 9x lim 3x 9x 3

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Q: Evaluate the limit: 1- 5x2 lim

A: limx→0-1-5x2x2-x4

Q: Evaluate the limit limx→∞ √3+11x^2/3+10x

A: Given, limx→∞3+11x23 + 10x Divide the numerator and the dinominator with x, limx→∞3x+11x23x + 10x…

Q: Find 2-Vx2-5 lim X-1 x+3

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Q: Evaluate the limit. 37-192x2 lim,+4-4x²+x° 3

A: Given query is to find indicated limit.

Q: Find: lim --9 ,2_9x x2-9x x→9

A: We have to find value of  Limit x tends to 9  (x-9)/(x^2-9x)

Q: Evaluate the limit 11x3 3x2 – 11x - lim 10 – 4x – 3x³ - -

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Q: Use the definition to show that x2 + x -6 lim = 5. x - 2 4.

A: I have just used the definition of limit

Q: Evaluate the limit: lim 2-1 (5x5 - 7x) =

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Q: Evaluate the limit: lim,-9 (f, –11, ) = (

A: Evaluate the limit...

Q: Evaluate the limit 7x3 – 2x2 – 2x lim 2 — 4х — За3 x → 00

A: limx→∞7x3-2x2-2x2-4x-3x3 ⇒ limx→∞7-21x-21x221x3-41x2-3 (divide numerator and denominator by x3)

Q: Evaluate the limit. lim -5 V-I-2

A: We have to find value of given Limit.

Q: Evaluate the limit lim X->00 8xナ9x 9x3-7

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Q: Determine |7x + 42|| lim x + 6 x - -6 + |7x + 42 | lim x + 6 X- -6 -

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Q: Prove that lim5 (x2) = 25

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Q: Determine lim,-∞ *) . x+1 x+7x (주 00 1 -00. - T-

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Q: Find the limit. 9 4 + x2 lim

A: Given : limx→-∞4+9x2   To find : The given limit?

Q: х3-27 9. lim х>-3 х-3

A: Given: 9.limx→-3x3-27x-3

Q: Prove lim-13x+2=-1

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Q: Determine the limit: lim x→5* 200 – 8x² х - 5

A: limx→5+200-8x2x-5

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: Evaluate the limit 4)². 2 + 4 16 lim

A: we have to find out the limit of given question

Q: Evaluate Lim マ-1 X-1 区 -1

A:

Q: Explain the meaning of lim f1x2 = - 0. xSa"

A: Given:                   limx ς a+ f1x2=-∞   To determine:                        Meaning of this…

Q: 13) Determine the lim X--9 + 169 く+9

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate the limit lim_ (6x² + 4) (3x + 6) x +7

A: Given limx→76x2+43x+6  We have to evaluate the limit.

Q: Determine limx→−2 6/x-2, if it exists

A: limx→−2 6/x-2 yes limit exist and we can direct apply the limit so put -2 in given function…

Q: Evaluate the limit 16 — а - lim a → 16 4 – va

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Q: Show that there is no number which satisfies the definition for the statement lim (-1)"+1 = a.

A: It is known that as n approaches ∞, -1n either gives the value 1 or -1.

Q: Evaluate lim, --0( ) x \(4-x)2 16,

A: The given expression limx→01x14-x2-116

Q: Use the ɛ - ô definition of limit to prove that lim X4 2 --5 =-3

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Q: Evaluate the limit. 1. lim (2x3 - 3x2 +x- 1) X-1

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Q: Evaluate the limit below. 28 – 4x + 7x2 lim -9x² – 4 - 4

A: LetL=limx→∞ 28-4x+7x2-9x2-4Divide N and D by x2L=limx→∞ 28x2-4xx2+7x2x2-9x2x2-4x2L=limx→∞…

Q: Evaluate the limit   limx→∞(sqrt(x^2-10x-1)-x)

A: Firstly, we multiply numerator and denominator by srrt(x^2-10x-1)+1.and then we use the result…

Q: Prove the statement using the €, & definition of lim(x² + 2x - 7) = 1. →2

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.