Solve the following exercises by the epsilon-delta definition of limits. 8. lím (7 2x) = 11 *→-2 9. lim x² - 1 *→-1 X + x² - 9 x-3 X 3 10. lim - = -2 = 6

Q: 1. lim (x – 4)(x² + 8) x→5 2(t-10)² 2. lim t→10 t

A: Let P(x) = a0+a1x+a2x2+.....+anxn be a polynomial, where a0, a1, ...., an are real numbers and n is…

Q: Exercise 1: Number Heads Together Directions: Evaluate the limits of the following: x2 + x-6 1. lim…

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Q: B. Factoring method 1. Lim x-3/x2-18x+45; x= 3 2. Lim x2-64/x+8 ;x= -8 3. Lim x2+8x+16 ;x-1

A: There is the solution.........

Q: 3x3 - 4x lim 5x³ – 2 ,3 X→-0

A: Given limit is as below:

Q: 2+49 –7 5. lim x→0 x2

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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: 2. Evaluate the following limits. -7r-8 (a) lim 4x +5 (b) lim 100 3r2-3.r +4 (c) lim

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Q: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

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Q: V1-x3 16. lim х+1+ V1-x2

A: limx→1+1-x31-x2

Q: 2x-1 2. lim X-2 \3x+4,

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Q: Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

A: We know, ln(ab)=b*ln(a)

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

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Q: 2x2 +2x-4 lim X→1 X-1

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Q: Find Lim- 3x-6 x-2 x²-4' A. ∞o C. 34 Select one: ос O B О А B. D. +13 010

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Q: Q 10 Show using the definition of limits lim+333x2 -13x - 8= 250

A: Consider the given limit function.