Defining Continuity at a Point
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the third condition for continuity at a point
x
=
c
x = c
x
=
c
?
QUESTION
State the definition of a jump discontinuity.
QUESTION
Which condition fails if
lim
x
→
c
f
(
x
)
≠
f
(
c
)
\text{lim}_{x \to c} f(x) \neq f(c)
lim
x
→
c
f
(
x
)
=
f
(
c
)
?
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ANSWER
The condition that
lim
x
→
c
f
(
x
)
=
f
(
c
)
\text{lim}_{x \to c} f(x) = f(c)
lim
x
→
c
f
(
x
)
=
f
(
c
)
. The limit and function value don't match.
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