Respuesta :

Medunno13

1) 2

  • When x = 3. y = 2.

2) 4

  • As x approaches 3 from the left, y approaches 4.

3) 1

  • As x approaches 3 from the right, y approaches 1.

4) 2

Does not exist

  • Since the two one-sided limits are not equal, the overall limit doesn't exist.
xero099

The results about the piecewise function are listed below:

  1. f(3) = 2
  2. Left limit: 4
  3. Right limit: 1
  4. The limit does not exist.

Does the limit of a piecewise function exists for a given value of x?

We must evaluate a piecewise function formed by four cases. First, we evaluate the function at x = 3 based on all the information shown by the graph:

f(3) = 2

Second, we check for the values of the two lateral limits:

Left limit

f(x) → 4

Right limit

f(x) → 1

The limit exists if and only if the two lateral limits tends to the value of the function evaluated at x = 3. According to all the information extracted from the picture, both lateral limits and the evaluated function are different. Thus, the limit does not exists for x = 3.

To learn more on limits: https://brainly.com/question/12207539

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