Connecting Infinite Limits and Vertical Asymptotes
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find the vertical asymptotes of
f
(
x
)
=
x
2
−
1
x
2
−
4
f(x) = \frac{x^2 - 1}{x^2 - 4}
f
(
x
)
=
x
2
−
4
x
2
−
1
.
QUESTION
Identify the vertical asymptote for
f
(
x
)
=
x
2
+
1
x
2
−
3
x
+
2
f(x) = \frac{x^2+1}{x^2-3x+2}
f
(
x
)
=
x
2
−
3
x
+
2
x
2
+
1
.
QUESTION
Determine the vertical asymptote for
f
(
x
)
=
x
2
+
5
x
2
−
1
f(x) = \frac{x^2+5}{x^2-1}
f
(
x
)
=
x
2
−
1
x
2
+
5
.
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ANSWER
x
=
±
1
x = \text{±}1
x
=
±
1
. Set denominator
x
2
−
1
=
0
x^2-1=0
x
2
−
1
=
0
, giving
x
=
±
1
x=\pm 1
x
=
±
1
.
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