Determine the following limits, using ∞o or - ∞o when appropriate, or state that they do not exist. X+4 X→3+ (x-3)² a. lim X +4 2 x→3- (x-3)² b. lim X+4 x→3 (x-3)² c. lim

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: Evaluate the following limits or explain why they do not exist. x2 + 3x-4 (а) lim x-4 x2 +x – 12 In…

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Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: 4. a. Evaluate lim x - x-6 x→3 x2 -9 x+1 lim x→-1 /3 - x –2 b. Evaluate

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Q: Calculate the following limit: -5•x3 + 22· x² -6•x lim X +0 7.x2 – 35 · x

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Q: Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x +…

A: apply the limit after solving

Q: Evaluate the following limits. 1 a. lim x-4+ x-4

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Q: Evaluate the following limits. If needed, enter inf for -and -inf for - 6x³3x²-5x A/ 6-7x-2x³ lim X…

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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: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

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Q: Evaluate the following limits analytically. Vr+6-5 lim x-19 (a) x+2-3 (b) lim x-7 -5x +6x (c) lim…

A: In the question it is asked to calculate the limit of the following functions given:

Q: Find the following limits : 1+2+3+ .+ x 4) lim x2

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Q: |r+7| 9. b. lim r-8- x2 + 7x -8, x + 8

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Q: 9x¹+x x-100 2x¹45x²-x+6 iv. lim

A: Given limx→∞ 9x4+x2x4+5x2-x+6