Exploring Types of Discontinuities
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Determine the discontinuity for
f
(
x
)
=
x
2
+
4
x
+
4
x
+
2
f(x) = \frac{x^2 + 4x + 4}{x + 2}
f
(
x
)
=
x
+
2
x
2
+
4
x
+
4
at
x
=
−
2
x = -2
x
=
−
2
.
QUESTION
Identify the discontinuity in
f
(
x
)
=
x
2
−
1
x
+
1
f(x) = \frac{x^2 - 1}{x+1}
f
(
x
)
=
x
+
1
x
2
−
1
at
x
=
−
1
x = -1
x
=
−
1
.
QUESTION
Identify the discontinuity:
f
(
x
)
=
tan
(
x
)
f(x) = \tan(x)
f
(
x
)
=
tan
(
x
)
at
x
=
π
2
x = \frac{\pi}{2}
x
=
2
π
.
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ANSWER
Infinite discontinuity. Tangent has vertical asymptotes where cosine equals zero.
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