Evaluate lim 3x | 1+ x-

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

A: We first factor the numerator and the denominator

Q: Evaluate a* -b* lim - b* x→0 X

A:

Q: Evaluate lim 2 X-2 x-2

A:

Q: Find lim X-0 √x² + 100-10 x²

A: We will find the value of the limit in the following step.

Q: Determine whether the statement is true or false. lim (x2 + 6x - 7 + 6x - 7 - x-1 lim x-1 x2 + 5x -…

A: Consider the LHS is limx→1x2+6x-7x2+5x-6. Solve the LHS as,…

Q: Evaluate lim(1 – 2x)ž. x-0

A: To find the limit It is in the form 1infinity , so use the below steps. When (0/0) form comes , we…

Q: Find x²-x-12 lim x--3 x2 + 8x + 15

A: We have to find limit of given function

Q: -1 lim x→-1 x+1

A: The given limit of the function is At x=-1, the value of the given function takes the form of 0/0…

Q: Find:

A: we have to find the given limit limx→-3(x+16)

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

A: Given that,limx→ 11x-1-2x2-1

Q: Evaluate lim x > 3 (x* -2x + 1)²

A:

Q: Evaluate lim x + Væ² - x" + 2x

A:

Q: Evaluate using substitution.

A: To evaluate the limit

Q: 9x + 1 lim x - 1

A:

Q: - a) Evaluate lim x- - 2 3 + x x + 2 2.

A: First solve then apply limit

Q: Evaluate: lim 1 x→-3 - x+3 3

A:

Q: Find Lim x→ o" ( x-0

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Q: 5x + 4 Find lim X2 x - 3

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Q: et-1 - 1 (b) lim x1 x2 - 1

A:

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

A:

Q: - lim x²ln x x->0+

A: Solution of given question is written in below steps.

Q: 3. Evaluate. 3x +x lim (a) x² -6

A:

Q: Find lim x → 0  ((1/x+7)-(1/7))/x

A: First, simplify the numerator using LCD.…

Q: (3x-1)² - lim x→1 (x+1)3

A:

Q: Evaluate lim (1+x)/x x→0

A: Please see the answer in step 2

Q: Зх— 6 Find Lim x-2 x? - 4

A: We have to find:  limx→2 3x-6x2-4

Q: Evaluate lim X→∞ √x-√x³-1 √9x3+3-4x

A: To evaluate the limit of the given function.

Q: Find the exists. 5 x а. lim 3 5x'+1 b. lim 10х-3x +7

A: Given that: a. limx→-∞5x-x3b. limx→∞5x3+110x3-3x2+7c. limx→∞5x2+2x2+3

Q: Evaluate: lim (1 + 2* + 3* + ... + 99t)¹/x X→∞

A:

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: lim x→-1 x² + 2x + 1

A: Limit: Limit is a mathematical concept based on the concept of proximity that is used to give values…

Q: 1 (B). Evaluate lim (3 – x) x-2 x→2

A: Given that  lim x to 2 (3-x)^(1/(x-2))

Q: Evaluate lim x-2-2-√√4x-x²

A:

Q: Evaluate: Lim x-4 x2 -x-12

A: Given that: limx→4x-4x2-x-12

Q: Find lim 19-400 -)" + for any x > 0.

A: Given problems:-

Q: 2 - Vx2 – 5 2- Evaluate lim x-3 x + 3

A: We find limit

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

A:

Q: Evaluate: 2 1. lim [√x²+x= √√x² + 4] ∞0++x

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

Q: Find Lim x→2 x2 - 5x + 7

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Q: x'' -1 lim 4. x* -1. Evaluate

A:

Q: 4. Evaluate lim x-7 x-7

A: Given: limx-7x+9-4x-7

Q: -x +2x Evaluate lim x x - 4x +4

A: given,

Q: Evaluate lim x-2 6-x-2 /3-x-1

A:

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: Evaluate Vx+3-2 lim x11

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Q: Evaluate lim (e – 2x) -

A:

Q: Evaluate lim x→1+ (x+8/x+4)

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Q: -4 X+X- 6x-5 lim

A:

Q: Evaluate lim (2 – x)an x-1

A: Given that a limit problem we solve it by using L'hospital rule . Here i attached solution of this…