Limits at Infinity and Horizontal Asymptotes
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the horizontal asymptote of
f
(
x
)
=
5
x
x
2
+
x
f(x) = \frac{5x}{x^2 + x}
f
(
x
)
=
x
2
+
x
5
x
?
QUESTION
What is the horizontal asymptote of
f
(
x
)
=
x
3
+
5
4
x
4
+
1
f(x) = \frac{x^3 + 5}{4x^4 + 1}
f
(
x
)
=
4
x
4
+
1
x
3
+
5
?
QUESTION
Identify the horizontal asymptote of
f
(
x
)
=
x
2
x
2
−
x
+
1
f(x) = \frac{x^2}{x^2 - x + 1}
f
(
x
)
=
x
2
−
x
+
1
x
2
.
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ANSWER
y
=
1
y = 1
y
=
1
. Same degree quadratics:
1
1
=
1
\frac{1}{1} = 1
1
1
=
1
.
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