Consider limx-4 f(x), where f(x) 14x+ 9. Find a maximum value of 6 such that: If(x) 65< 0.006 if |x 41< (Use decimal notation. Give your answer to six decimal places.)

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Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

A: We have to find the limit

Q: Find the limit analytically: 2-4x lim 40 5+3x 1.

A: Solution is here

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A:

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A: By using L'hopital's rule, we find the limit of the function.

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A:

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A: limx→0--4+x2x2

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A: A function f(x) is said to be continuous at a point x = a, in its domain if the following three…

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A: It is given that limx→0x1+3x-1 It is known that if we have limx→af(x)g(x), and after plugging the…

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A: To Determine:  Evaluate in terms of the constant a.…

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A: Solution is given below

Q: find the limit or explain why it does not exist.

A: We have to find the limit: limx2+5x+5x3+3x2-11x For the given condition, a. as x→0 b. as x→3.…

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Q: Find the limit as x approaches - 2 for the function f(x) = 12x + 1. %3D lim (12x+1) = X→-2

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Q: Find the limit of the function lim x² 3x +2 X-1 X-A

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Q: Calculate the limit algebraically: x³ + 8 lim x→-2 x² + 7x + 10

A: Consider the given expression, If we substitute  in the expression we get  form. so, use L-hospital…

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A: To determine the value of the limit.

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A: Given that :-          limx-&gt; -3 ( 3x² + 2x + 1 )

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Q: Find the limit analytically: 2-4x lim- 40 5+3x 1.

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Q: Find the limit. Vx +7-4 lim X-3 X-3

A: limx→3 x2+7-4x-3

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A: the given limit is: limx→∞25x2+x-5x we have to find the value of the limit.

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Q: Consider limx3 f(x), where f (x) = 7x - 7. Find a maximum value of 6 such that f(x) 140.006 if |x -…

A: We have to plug f(x)=7x-7 in |f(x)-14|&lt;0.006

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A: The given limit is limx→∞x2+18x-x. we have to find the value of limit.

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A: We need to find the limit:limx→5x2-25x2-8x+25

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A:

Q: Find the limit of the function algebraically. x2 + 2x lim

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Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

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Q: Consider limx6 f(x), where f(x) = 6x + 5 Find a maximum value of 6 such that: f(x) 410.001 if |x - 6…

A: To determine the maximum value of delta.

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A: This question is related to limits, we will solve it using given information.

Q: 2x +1 メ-4 lim 2. X-0

A: L'Hospital rule is applicable only when f(x)g(x) become of the form 00or ∞∞ For applying…