Question

Sketch the graph of the function. f(x) = 3 + x if x < −2 x2 if −2 ≤ x < 2 6 − x if x ≥ 2

*The lower left hand graph is the correct graph!
Use the graph to determine the values of a for which
lim x → a f(x)
does not exist. (Enter your answers as a comma-separated list.)
a =

Answer 1

The values of a for which the limit does not exist in the given function are -2 and 2.

Step-by-step explanation:

To determine the values of a for which limx → a f(x) does not exist, we need to look for discontinuities in the function. Discontinuities occur when there is a break or jump in the graph. In this case, the function f(x) has two points of discontinuity, at x = -2 and x = 2. Therefore, the values of a for which the limit does not exist are -2 and 2.