Removing Discontinuities
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Identify the discontinuity type:
f
(
x
)
=
x
2
−
4
x
−
2
f(x) = \frac{x^2 - 4}{x - 2}
f
(
x
)
=
x
−
2
x
2
−
4
at
x
=
2
x = 2
x
=
2
.
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
?
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ANSWER
Infinite discontinuity. Division by zero creates a vertical asymptote at
x
=
0
x=0
x
=
0
.
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