4. if x < - 5 Let f(x) = I+5 3x + 15 if x > - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = lim I→ - 5+ f(x) lim f(æ) : I → - 5

Q: 3. Sketch a graph of a function y = f(x) that satisfies all of the following (if possible): а. x-0-…

A:

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: 5 if x - 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I+…

A:

Q: 7. Use the definition of the limit of a function to show that if lim f(x) = a and lim g(x) = b, x→x0…

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Q: 1. Evaluate the following limit: x? -4 a. lim- 1+2x + 2x – 8 (x²-9) 2 b. lim 1+3 (x -3) (t - 3) c.…

A: If putting the value of variable value of function approaches 0/0 we should apply L hospital rule…

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: Use the given graph of the function g to find the following limits: 1.0 -3 1. lim g(x) = help x2-…

A: Graph of the function g(x) is given, we have to find the limit of g(x) at x=2 and x=0

Q: x - 6x +5 8. lim X5 x- 5 (-5+h)' - 25 10. lim h-0

A: Given: To Find: Value of limit

Q: The graph below is the function f(x) -4 -3 -2 -1 lim z→ 3+ 4 3 2 1 -1 -2 -3 -4 Determine the…

A: Find the limit from the graph

Q: Find the following limits if they exist. Must show all work (analytically?): 1. X-2 lim (x) where…

A: Given that: 1. limx→-2f(x), where f(x)=-3x2+8, if x&lt;22x,          if x&gt;-2   NOTE: As per our…

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: (x-2)f(x) 1+2 2x -5x +3x-2 2. Given that lim = 3, evaluate lim f (x). 3. Evaluate the following…

A: