Prove the following using the definition of a limit. a. Given f(x) = 2x – 5, prove that limit lim f(x) = 1. x-3 b. Use the e - 8 definition of the limit to prove that lim = 4. X-2 x-2 -3x c. Suppose that h(x) = Prove that lim h(x) = 3. %3D x-3 x-3

Q: lim In(x + 7) x--6

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Q: 3. Define the function f(x) (a) Evaluate lim f(x) 1+0+ (b) Evaluate lim f(x) I-1 = 2x n+m m x YA m…

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Q: 8. Evaluate the limit by using a √√x-2 a. lim x8x8

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A: The logical symbol "∨" is used to denote "OR". The logical symbol "⊕" is used to denote "XOR". The…

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A: The limits given are limx→cfx=-13 , limx→cgx=-15. To find the limit of the function ,  Apply the…

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A: The notation limx→4f(x) is read, The limit of f(x) as x approaches 4.

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Q: 3. Find the limit of +2x+3 lim X-2 V x+5

A: As per Bartleby guidelines, we will solve only first question To find the limit of limx→2x2+2x+3x2+5

Q: 4 Use the following graph of f(x). 2- a. find the limƒ (x) x--3 b. find the lim f (x) -2- c. is f(x)…

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Q: Calculate lim f(x) or determine that the limit does not exist. x-12+ 60 - x x 12 X- 12

A: Follow the steps.

Q: Use the graph of f(x) below to determine the following limits if it exists. 4+ 1. -3- a). x+ -2- lim…

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