Find the following: (1) lim *-1 3 X-4 x-4 Ix-21-3 (2) lim X-5 x-5

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

A:

Q: Find lim(x→−2)(x^2 − 4)/(x^2 − x − 6)

A: We first factor the numerator and the denominator

Q: 4-x lim,.

A: The given limit is limx→∞4-xx

Q: Evaluate lim 2 X-2 x-2

A:

Q: Find x²-x-12 lim x--3 x2 + 8x + 15

A: We have to find limit of given function

Q: Evaluate lim,→1 ( 고-교) 2 x-1 x² –1.

A: Given that,limx→ 11x-1-2x2-1

Q: Evaluate lim オ-5 x(x + 1). オ→0*

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Q: Determine lim(3x - 5). x----2

A: To find: limx→2 (3x-5)

Q: lim xV* = 1 x-0

A:

Q: メラッノ * Find lim x -3 メ→の and Saimplify メーの

A: Simple limit problem.....

Q: 1. For each statement, determine if it is True or False and explain why. x²-4 x-2 =x+2 b. lim *-* =…

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Q: Determine the * -2x3-4x +7 lim x + 10 -00 0.

A: Given:         limx→+∞-2x3-4x+7x+10    Divide by highest denominator power:…

Q: Find:

A: Given that limx→512-x. Compute the limit as follows.

Q: ,2 Use a table and/or graph to find lim x+5x –x X 00 lim x+5x - x) (Round to the nearest…

A: The solution are next step

Q: Find the value of * lim - 1 - 1 1 +x

A: Let us take f(x)=x11+x-1. Then we have to find limx→0f(x).

Q: Evaluate, lim                            (x3+8/x+2) x-->-2

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Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

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Q: Find the following 1 I – 6 (a) lim I4- 4 -I (b) lim -3 27 - r (c) lim -6 (x – 6)6

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Q: Find Lim 5e*²-2x

A:

Q: Determine the following limits. 4x2 + 12+ 16x lim 36 +4x2 + 9x- x I- 00 4x2 + 12 + 16x lim I - 00 36…

A: Determine the following limites.  a limx→∞4x2+12+16x-36+4x2+9x-x3Degree of numerator <Degree of…

Q: tind lim X+8 -3 メ→ - メ+」 2. lim X+3 2. メ→ -3 ×+uメ+3

A: The given problem is to evaluate the given limits of a function, we have to check the 0/0 form then…

Q: x³ - 125 lim x-5 x - 5

A:

Q: How to find  lim 4-x/x+3 while its approaching 3 from the left side.

A: we have to find limit value as x approaches to 3 from left side.

Q: Find the following 1 х — 6 lim 2-4- 4 b lim r-3 27 - r a lim -6 (x – 6)6

A: We have to use l hospitals rule to find limits

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

A:

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

A:

Q: Eva luate the Following limits 2) lim x-74 X2-X-12 *-1 s.) limx->4 *2+x=2

A: To evaluate the following limits.2 limx→4 x2-x-12x2-x-203 limx→1 x-1x2+x-2

Q: Evaluate Lim マ-1 X-1 区 -1

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Q: Evaluate lim 2x - x-3

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Q: 1. Evaluate. 3x -14 a) lim- -4 x-2 r²+x-12 b) lim x-3

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Q: Find  lim x+8/x-1 as x approaches -2 approaches

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Q: Show the steps needed to evaluate lim(1 + )"

A: We will solve the following using binomial expansion.

Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

A:

Q: Explain the meaning of lim f(x) = 10.

A: If we plot a graph of f(x) versus x then as x approaches the specified limit value(x-lim), f(x) will…

Q: Evaluate lim 3x | 1+ x-

A: limx→∞1+1x3x

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

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

Q: Find the following: A)) lim x+1 x-3 lim B)) x4 x+1

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Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

A:

Q: 2. Find the imit lifany) メー5 X-25 lim X25

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Q: b) 49-(5+ x)² x-2 lim-

A: Use L.Hospital rule to evaluate above limit as in next step.

Q: Find x-3 lim, 3

A: If limx→a-f(x) =limx→a+f(x) =Lthenlimx→af(x) exist  and limx→af(x) =L

Q: Is lim 20 equal to 10 or 20?

A: Is lim 20 equal to 10 or 20?

Q: X4 lim x ->0

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Q: Investigate lim x 2 . x ➔4

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Q: Find the following: (i) Lim      x^1/3 + 9x^1/5     x→0    6x^1/2 - 4x^1/4 (ii) Lim…

A: i) Since it is in 0/0 form, so we can apply the L'Hospital's rule

Q: Is lim x→10 20 equal to 10 or 20?

A: 20 does not depend on the value of x. So for all values of x , 20 will stay 20.  Even when x…

Q: lim (x2-4) x-2 x-2 7-,

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine whether the statement is true or false. lim 2x 2x -- lim 6 = lim x+3 X - 3 x-3 \x - 3 X -…

A:

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.