Consider limx5 f(x), where f(x) = 7x + 8 Find a maximum value of 8 such that: f(x) 430.005 if |x - 51 < 8 (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: 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…

A: Plug f(x)=14x+9 in the given inequality and simplify.

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A: We apply limx-&gt;∞ on all sides.

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Q: Compute the limit below. Justify your answer. 2x2+5x -52 lim- .3 x-4 X°+9x-100

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Q: Find the limits in Exercise

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Q: Compute

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Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

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Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

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A: Given: Fx=x2+3x+22-x To determine: We have to estimate limx→-2Fx by making a table of values of F at…

Q: what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

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Q: a. Evaluate limx→5 f(x), where f(x) = { 11x+ (2 +77) Ef x5 f(x) exists.

A: solution is given below..

Q: lim (4x – V16x² + 3x – 5 (4* Зх — 5 00-x

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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.…

Q: Find the limit. lim              x2+5/5x3-2 x→+∞

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Q: Find the limit, if it exists. If the limit does not exist, explain why. 5x – 10 lim |x – 2| x-2-

A: We have to find value of given Limit.

Q: find the limit or show that it does not exist for lim x→−∞ √4x2 + 1 / 2x + 5 .

A: limx→-∞ 4x2+12x+5 = limx→-∞ x4+1x2x2+5x                                =limx→-∞ 4+1x22+5x…

Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: Consider lim3 x2 9 Find a maximum value of 6 such that x2 90.005 if |x - 3| < 6 (Use decimal…

A: We remove absolute value of |x^2-9|&lt;0.005 and solve for x.

Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

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A: Follow the procedure given below.

Q: find the limit or explain why it does not exist. lim 12 In (2 – Vi) -

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Q: Find the limit. -7x + 5 lim Vx2 + x X→-0

A: Given limit, limx→-∞-7x+5x2+x

Q: . Is it possible that f(2) = 5 but limx→2 f(x) = 7? If so, what kind of function can satisfy this?

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Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx-&gt;9x+3x-9

Q: Use the e-8 definition to show that lim VI = 2. Z-14

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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

Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

Q: Evaluate the limit 5 + 2x lim 8 – 8x x → 0

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A: Find the limit of the function f (x), at x = 1: limx→1x14−11−x13=limx→1x14−1limx→11−x13=00

Q: Find the limit (if it exists). If it does not exist, explain why.

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Q: Evaluate the limit. 8x 4 lim x→4 \x² – 16 X -4,

A: To evaluate the limit: limx→48xx2-16-4x-4 Solution: We can find that if we evaluate limit then we…

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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.

Q: Let f(x) = x^2 − 10x. If you construct an ϵ-δ proof to show that limx→5 f(x) = −25, what is the…

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Q: Evaluate the limit lim x² + 4x – Vx² + x ) and interprete the result in relation to x 00…

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