Consider the following function. f(x) = = x² 64 X-8 Find each value. (If an answer does not exist, enter DNE.) f(-8) = lim f(x) X-8 = Determine whether the function is continuous or discontinuous at x = -8. Examine the three conditions in the definition of continuity. The function is continuous at x = -8. O The function is discontinuous at x = −8.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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Consider the following function.
f(x) =
=
x²
64
X-8
Find each value. (If an answer does not exist, enter DNE.)
f(-8) =
lim f(x)
X-8
=
Determine whether the function is continuous or discontinuous at x = -8. Examine the three conditions in the definition of continuity.
The function is continuous at x = -8.
O The function is discontinuous at x = −8.
Transcribed Image Text:Consider the following function. f(x) = = x² 64 X-8 Find each value. (If an answer does not exist, enter DNE.) f(-8) = lim f(x) X-8 = Determine whether the function is continuous or discontinuous at x = -8. Examine the three conditions in the definition of continuity. The function is continuous at x = -8. O The function is discontinuous at x = −8.
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