2.
Consider the following function.
f(x) =
x2 + 9 | if x ≤ 1 |
5x2 − 1 | if x > 1 |
Find each value. (If an answer does not exist, enter DNE.)
f(1)=
lim x→1− f(x)
=
lim x→1+ f(x)
=
Determine whether the function is continuous or discontinuous at x = 1.
Examine the three conditions in the definition of continuity.
The function is continuous at x = 1.?
or
The function is discontinuous at x = 1. ?
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