Given the peicewise-defined function f. x² + 14 if - 10 < a < - 2 - 2 < a < 5 f(x) = - 44 if - x² – 19 if 5 < x < 11 Evaluate the following. Enter DNE if the limit doesn't exist. lim f(x) z→ – 10+ lim f(x) = lim f(x) = lim f(æ) = I→ -2 lim f(x) = I→5 lim f(x) = lim f(x) = lim f(x) : I→11

Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2

Q: Use the given graph of the function f to find the following limits: 1. lim f(x) = -I←x 2. lim f(x) =…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 18. lim 2+3 √3x + 16-5 x - 3

A:

Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

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Q: 1. Complete the following based on the graph of f(x). 0 10-8-6-4-2 CO 6 4 2 2 -4 क -8. f(x) e 246 6…

A:

Q: 11. Use the definition of the limit of a function to prove that lim g(x) =- 6 if %3D (16x²-9 4x +3 3…

A:

Q: Let f(z) = |r - 5|. Evaluate the following limits. S(z) - f(5) lim Z-5 エー5. f(z) - f(5) lim Z-15 I -…

A: Given function f(x)=x-5 use the concept  for h&gt;0limx→a- f(x)=limh→0f(a-h)limx→a+…

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A: The given limit is: limx→∞x5-3x+1x-5

Q: Vx + 4 – 2 Use a table of values to estimate the value of the limit of lim f(x) f(x) ERSIT 2.

A:

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

A:

Q: 16. Determine lim f(x) if the given function is x→2 f(x) = { 1², I 8-2x, if if x 2

A:

Q: Evaluating the following limits: Vx+5-V5 a. lim x-0 2x b. lim x-2 x-2 X+1 3 c. lim 3x cot(2x)…

A: Limit of the indeterminate forms

Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b.…

A: To find out the limits.

Q: 5х - 6 5. lim x→-e-X +3 5x6 + 7x5 – x³ + 3x - 25 6. lim x→-m -6x4 – 4x3 + 12x² + 1

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Q: Below is the graph of a function f. -2 H

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A: