5. Let r(x) be a nonzero rational function. Evaluate r(x+1) lim X00 r(x)

Q: Use everyday language to describe the graph of a rational function f such that as x→ - ∞, f(x) → 3.

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

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Q: b. Find lim (xv (xVx²+1-x²)

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Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

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Q: 2. Find lim (√x + 2 = √2).

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Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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

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Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: x²+x-2 1. lim X-o 4x-1

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

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Q: Let f(x) = 2x2 +1. Evaluate f(4 + h) - f(4) lim h-0 h

A: Given, The function f(x)=2x2+1.

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: lim (2x-5x) is x--2

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Q: Find lim 2-0 -x-1 x²

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Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

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Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…

Q: How do you find the limit of a rational function as x→ +-∞? Give examples.

A: Rational function is the function that can be expressed in the ratio of two polynomial functions.…

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: (x³ + 2x² + 1) dx x+2

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Q: Find Vx2 +8-3 lim X-1 x + 1

A: Limits question

Q: x² 12x + 27 - lim x → 9 x – 9 -

A: limx→9x2-12x+27x-9

Q: (9 + x)-1 – 9-1 8. lim x→0

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the domain of (fof)(x) if f(x)= 2 x+2

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Q: Let f(x) = = √9 - x + 5. Determine f-¹(x) and the the domain of f¹(x). ƒ-¹(x) Domain of f-¹(x) = =…

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