Exploring Types of Discontinuities
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find the type of discontinuity for
f
(
x
)
=
x
2
−
16
x
−
4
f(x) = \frac{x^2 - 16}{x - 4}
f
(
x
)
=
x
−
4
x
2
−
16
at
x
=
4
x = 4
x
=
4
.
QUESTION
What is the primary characteristic of a removable discontinuity?
QUESTION
Identify the discontinuity type for
f
(
x
)
=
ln
(
x
)
f(x) = \ln(x)
f
(
x
)
=
ln
(
x
)
at
x
=
0
x = 0
x
=
0
.
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ANSWER
Infinite discontinuity. Natural log approaches
−
∞
-\infty
−
∞
as
x
x
x
approaches zero from right.
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