Evaluate the following limits. 2x³-x²-2x+1 x² - 2x+1 1. lim- 2. lim 110 x³ + 2x-1 1-x¹ 1-cos2x 7x 3. lim. x-0

Q: 1. lim 2x

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

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Q: Evaluate: * х — 5 lim х-5 Vx+4 – 3

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Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

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: Evaluate the following limits. 1. lim X->3 2. lim 2 x-q x-3 X-3 X-3 √x-2-√4-X 3. lim (x³²-x²-x-2)…

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Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

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Q: 19. Evaluate lim (x³ + 2x2 – 3x – 4). x-1

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: Find the limits

A: Given: limx→1x-1-1x-1 for finding this limit we simplify given thing and find limit

Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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Q: X 19. lim x→1x² + 4

A: To evaluate the following limit.

Q: X lim x→1x² + 4

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Q: B/ Find the value of lim,-.. 1. ²/2 O 1 O 2 7x²+x-100 2x²-5x N NIN

A: To evaluate: limx→∞7x2+x-1002x2-5x

Q: Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -o. (a) V6+9x? lim x-00…

A: Solve the following

Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

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 : 1-COS2(X - 2) LIM X-2 X - 2

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Q: x²+6x+9 4. lim X--3 x+3

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Q: Find lim x+x:

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Q: 6. lim x2 - 5х + 4 x→-2 3-Vx+6 8. lim х-з х+3

A: Limit properties: limx→afx±gx=limx→afx±limx→agx limx→afxgx=limx→afxlimx→agx limx→acfx=c limx→afx

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

A:

Q: Q4/A/ Evahuate Vi+x -1- 2r-7x-15 5 3- lim,0 1- lim, o (tan 2x.csc 4x ) 2- lim,. x-5

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Q: 3 4x 2 lim a0 7VT+8 x00

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

A: Limits question

Q: x² - 3x Find lim x→3 x2 - 9 2

A: to find out the limit.