Let f(x) lim I→ 6+ if x = Calculate the following limits. Enter "DNE" if the limit does not exist. lim →-6- f(x) = lim I→ 6 = f(- 6) (−5 − x)² +2 if x # - 6 2x + 14 6 f(x) = f(x)= = =

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: 6х2+1 2. Find lim X→0 V4x4+3x+1

A:

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A:

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

A:

Q: V7x* +4x' -x² -2 lim x³ - 2x² -3x+1 4x-x²-2 x -0

A: Solution:

Q: x* +x² – 1 limx→c x²+5

A:

Q: Evaluate: * х — 5 lim х-5 Vx+4 – 3

A:

Q: The graph below is the function f(x) 5 -4 lim f(x) x-0 -5 -4 -3 -2 -1 3 2 1 4 -2 -3 = 4- t-st 1 2 3…

A:

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A:

Q: V9x2 + 4 96, lim x-0 6x +1 X00

A: Solve the limit

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A:

Q: V5x+4-3 3) lim X-1 x-1

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

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A:

Q: 2x2-3x-2 1. lim x→2 x-2

A:

Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

A:

Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

Q: Find Lim- 3x-6 x-2 x²-4' A. ∞o C. 34 Select one: ос O B О А B. D. +13 010

A:

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A:

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A: Limits question

Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

A:

Q: d. lim f(x) %D X-3-

A:

Q: 5x+4 lim X=-0 V9x2 –1 X =00

A: Consider the limit: limx→-∞5x+49x2-1 Expand the fraction:…

Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.