Use the Theorem on Limits of Rational Functions to find each limit. When necessary, state that the limit does not exist. 9. lim (4x – 5) 10. lim (3x + 2) 11. lim (x2 - 4) 12. lim (x2 + 3) X-2 13. lim (x2 - 6x + 9) 14. lim (x - 4x + 7) 15. lim (2x* - 3x³ + 4x – 1) 16. lim (3x5 + 4x* -3х + 6) x² – 25 3 x2 - 5 2 - 8 17. lim 18. lim 3 x - 2

Q: Determine the limit using any possible methods Зx* — 7х3 + 2x2- 2х +9 lim x-00 4x* – 3x³ – x² + 11x

A: We need to determine limx→∞3x4-7x3+2x2-2x+94x4-3x3-x2+11x

Q: (x²+4x-5)¹/2 lim x→1+ (x²-4x+3)

A:

Q: 2x-5 lim 3-5x+x² I3D

A:

Q: The limit when x approaches to 5 of a polynomial f(x) is f(-5)

A: Given The limit when x approaches to 5 of a polynomial f(x) is f(-5)

Q: Find lim f(x) if I-00 4x - 1 I 5.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

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Q: x + 2 lim (x + 3) -2 b. x + 2

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Q: Evaluate |x2-41 lim X-2 X- 0/0 O Does not exist

A:

Q: lim

A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: (2) Use the definition of limit of a function to find lim x3+5x 2-22 - - 2 3x+2

A: Hence,By using the L'Hospital rule concept, we conclude that a given function limit does not…

Q: t -9 9. lim- -3 2t +7t+3 1 1 11. lim x-3

A: 9) limt→-3t2-92t2+7t+3=limt→-3(t-3)(t+3)(2t+1)(t+3)=limt→-3t-32t+1=-3-32(-3)+1=-6-5=65

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

A:

Q: Find the limits of the functions lim メ>- (6lim x 2. xペー 2x+4

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Q: x² - 4x+3 lim Find the limit: x - 8x +15.

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Q: Find the derivative of the function. In(x) y' = y = +6

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Q: If limx--3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx-3[36x2 + f(x)- 3x]. O a. 11 O…

A: The given limit limx→-3x3+fx=-29. We have to find the limit of limx→-336x-2+fx-3x.

Q: (3x-1)² - lim x→1 (x+1)3

A:

Q: 2x-5+4x² lim 3-5x+x²

A: To find: The limit of limx→∞2x-5+4x23-5x+x2. Given: The limit is limx→∞2x-5+4x23-5x+x2. Formula…

Q: V1-x3 16. lim х+1+ V1-x2

A: limx→1+1-x31-x2

Q: (x+2)2 - 4(x+5) limx x- 4

A: Given,             limx→4x+22-4x+5x-4

Q: S 3x + 2 x² + 3x – 1 I-2 |

A: Given that: f(x)=3x+2            x&lt;-2x2+3x-1   x≥-2

Q: Determine the lim 2x - 2x2 - O-2 The limit does not exist

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Q: 4x + 1 x + 5x a. lim 8x - x - 6 x ( 3x - 4) b. lim Зх + 9 3x 4x - 7 lim С.

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Q: Evaluate lim f(x), f(x) = (3x² + 5x − 1, (7x² - 2x - 3, x ≤ 2 x > 2

A: Topic:-  limit and continuity

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 2. Rationalize lim(Vx² +1-x) -1- x

A: We have to find limit

Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

Q: Let f(x) { x2 + 16 if x &lt; -16 and (sqrt(x + 16)) if x &gt;= -16. Find. a) lim f(x) as x…

A: