3. Evaluate each limit using algebraic techniques. Use oo, -o or DNE where appropriate. x2 – 25 (a) lim r0 x2 - 4x – 5 10 (q) lim r 0 4.x3 + x x2 – 25 (b) lim r5 x2 - 4x - 5 x - 3 (r) lim x -00 - x 7x2 lim x→1 3x2 4x – 3 (c) 3x3 + x2 – 2 4.x +1 (s) lim x0 x2 + x – 2x3 + 1 x4 + 5x3 + 6x² (d) lim x + 5 2-2 x2(x + 1) - 4(x + 1) (t) lim x0 2.x2 +1 (e) 3 lim Ja + 1|+ (u) lim x-3 COS x -00 x6 + x5 + 100 x+1 – 2 lim (f) 2.x x2 – 9 (v) lim x→2 x2 – 4 x2 +7-3 3x (g) lim (w) lim x-1 x2 + 2.x + 1 x + 3 x2 + 2x – 8 x2 - - 25 (h) lim x² + 5 – (x + 1) (x) lim x-1 x2 4.x – 5 1/3 2y² +2y +4 lim y+5 x² - 5+2 (i) (y) lim бу — 3 x - 3

Q: 7ーズ 1. Find lim using a. Table of values f(x) b. Limit rules

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Q: Vx+h+5-Vx+ 5 2. Evaluate lim- h-0 h

A: See the details solution in below

Q: lim x+0 V1 + 3x – 1

A: SOLUTION-

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A: SOLUTION-

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A:

Q: Directions: Find the limit of the following. 1. lim(x² + 2x – 1) x→2 2. lim (x³ + 8) X--2

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Q: Find the local maximum, minimum and saddle points of the function using the second derivative test:…

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Q: If lim fx) -6 х+1 х— 1 – 6 10 , evaluate lim f(x).

A:

Q: 3. Evaluate each limit. If applicable, state why the limit does a. lim. x2+5x+10 X48 x-1 h lim…

A: A limit is called Do Not Exist if left hand limit and right hand limit are not equal.

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

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: 2. Find the limit of the following functions a. lim (-3x² + 5x – 4) x-18

A:

Q: Find the limits

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

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Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

A:

Q: Find the limits 3x lim x→-5 2x + 10

A: Our Aim is to find the limit of the expression given below:-limx→-5- 3x2x+10-(i)

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Q: Find. 1) a. lim f(x) and b. lim f(x). 3- 4-

A: Answer and explanation is given below..

Q: a lim 6. *a Jx- Ja -x

A:

Q: <2+3х-1 1| а. lim

A: Given: L=limx→0x2+3x-1x-1x For evaluating given limit, we put x=0 in given expression

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A: We have to find the limit: limx→24x2-4-1x-2 Here it is ∞-∞ form factorizing x2-4=x2-22 using…

Q: 2. Evaluate each limit at infinity. 3x5-8 (a) lim (b) limx→ 2x² + 4 N x3+5x 1+x²

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Q: B. Determine if lim f (x) = f (c)

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Q: 1. Evaluate each of the following: x3-64 a. lim X4x2-16 x-1 b. lim x-1 vx+3-2 1 1 C. lim 4 X→4ズー4

A: a)  limx→4 x3-64x2-16 = limx→4 x3-(4)3x2-42= limx→4 (x-4)(x2+4x+16)(x-4)(x+4)     ... Use (a3-b3) =…

Q: Evaluate the limit.

A: Given, limx→∞x3+20x10x-2

Q: Evaluate the limit: lim x-0 √6x +9-3 X ||

A: