Exploring Types of Discontinuities
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
Define a point of discontinuity.
QUESTION
Which type of discontinuity occurs when
lim
x
→
c
−
f
(
x
)
≠
lim
x
→
c
+
f
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x
)
\lim_{x \to c^-} f(x) \neq \lim_{x \to c^+} f(x)
lim
x
→
c
−
f
(
x
)
=
lim
x
→
c
+
f
(
x
)
?
QUESTION
What condition indicates a function is discontinuous at a point?
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ANSWER
The limit does not equal the function value or does not exist. Either the limit doesn't exist or doesn't equal the function value.
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