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: Use the given graph of the function f to find the following limits: 1. lim f(x) = 5 x 17 2. lim…

A:

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

A:

Q: Use the given graph to: + + + -4, -3 -2 4 3 0 1 2 3 4 X Find lim f(x). X→

A:

Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

A:

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: 7x f h(x) = (1 + 4) ¹*, find lim h(x). X→∞

A: Please see the below picture for detailed solution.

Q: V1-x3 16. lim х+1+ V1-x2

A: limx→1+1-x31-x2

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: If 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

A:

Q: 6. y = f(x) 1 0 1 2 4 6 7 8 Enter each answer as a whole number (like -4, 0, or 253) or DNE for…

A: We shall use basic knowledge of functions, one-sided limit of the function to solve this question.…

Q: 3 4x 2 lim a0 7VT+8 x00

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 f(x) a =…

A: fx=1x+5, a=-5 Now, limx→-5+fx=limx→-5+1x+5=∞ &amp; limx→-5-fx=limx→-5-1x+5=-∞ Clearly,…