Removing Discontinuities
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Determine the discontinuity type:
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
at
x
=
0
x = 0
x
=
0
.
QUESTION
What kind of discontinuity does
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
have at
x
=
0
x = 0
x
=
0
?
QUESTION
What is the behavior of
f
(
x
)
f(x)
f
(
x
)
at a jump discontinuity?
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ANSWER
Differing left and right-hand limits. Left and right limits exist but are unequal.
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