Use the e - 8 definition of the limit to establish a ô that proves lim (x – 1) = 2 x-2 O A) 3 B) 2e C) 3e O D)

Q: lim h0 h x+h Vx+h-Vx lim h x > 0 h-0 25-u-5 lim u-0 v1+u-1

A: 1)…

Q: Use the graph to evaluate the limit. 1) lim f(x) X-0 N -1 -1+ A) does not exist 3 4 x B) 0 C) 2 D)…

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Q: lim x² ln x x-0*

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Q: Calculate the following limits

A: a)To solve the limit in expression limx→1​x2−2x+1x−1​We need to simplify the expression by factoring…

Q: Va² –3 –2 \, x2+1 lim x→-1

A: Given: limx→-1x2-3-2x2+1

Q: ) State the definition of the "limit of a function": The definition begins: GIVEN: f:(x1, a)U(a, x2)…

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Q: Calculate the following limit: lim,1 a2+5x-6 x2-7x+6 O -7/5

A: we have to find the value of given limit limx→1 x2+5x-6x2-7x+6

Q: 2) Evaluate the limit, if it exists. x²-x-12 a) lim X--3 x+3 b) lim x-0 √1+3x-1 c) lim (₁-²₁) X-1 11…

A: For (a),      limx→ -3x2-x-12x+3=limx→ -3x-4Plug in the value x=-3=-3-4=-7

Q: Use the graph of f(z) below to find lim f(z) 10 y -4 -2 10 a) O-3 b) O2 c) O-4 d) O-1 e) 00 f) O…

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Q: 1) Evaluate the limit in each part if it exists Vx+2 -3 a) lim x-7

A: To evaluatelimx→7x+2-3x-7

Q: Evaluate the limit lim 5*+2+[In CInx) メつ0 プ+6+ (nx)0 200 100

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Q: Prove that lim (2a2 + 3r + 6) = 5 using the e, 8 definition of a limit. %3D a -1

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Q: Prove the limit statements

A: To prove: =lim     x→04-x=4-0=4=2=RHSHence proved To prove this, we will start from LHS and will try…

Q: Find the limit (1+h)3 –1 lim h h→0

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Q: lim -1 x→0+

A: Separate the limit.

Q: 6 Use the e - d definition of a limit to prove e lim 1+2 r2 + 2 1.

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Q: Evaluate sin 0 – 1 lim 0 - T/2 In sin 0

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Q: lim 1. Use an ɛ, ô proof to prove the limit: (3х — 2) %3 13 x → 5

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Q: Evaluate the limit lim (Ky)-(0.0) x +3y

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Q: 1. Find the limits: [Vx² – 5x – x + In („)) 2x²+4x 7x³+2x²+4x+9° b) lim X-1 5x²+13x+8

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Q: 2. Use the Squeeze theorem to show that lim x-0 ² co(+1)²

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Q: 8х + 15 - Evaluate the limit: lim х — 3

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Q: From the graph determine lim (x) *-2* O 1) 1 O 2) 2 O 3) 3

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Q: Evaluat the limit si a. lim (Itx)"-1-nx ー1-nx x2 メ

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Q: 2х — 5 lim 4x

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Q: w²+8w+7 w 1 w²-4w-5 5x2+1 x→+∞o 3x²-x a) lim b) lim c) lim x →+∞ x3+7x 4x³+5

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