Confirming Continuity over an Interval
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
What type of discontinuity is present if
f
(
x
)
f(x)
f
(
x
)
is undefined at
x
=
a
x = a
x
=
a
?
QUESTION
What kind of discontinuity occurs if
lim
x
→
a
−
f
(
x
)
≠
lim
x
→
a
+
f
(
x
)
\text{lim}_{x \to a^-} f(x) \neq \text{lim}_{x \to a^+} f(x)
lim
x
→
a
−
f
(
x
)
=
lim
x
→
a
+
f
(
x
)
?
QUESTION
What is a point of discontinuity?
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ANSWER
A point where
f
(
x
)
f(x)
f
(
x
)
is not continuous. Where any of the three continuity conditions fail.
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