Defining Limits and Using Limit Notation
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the limit of
tan
(
x
)
\text{tan}(x)
tan
(
x
)
as
x
x
x
approaches 0?
QUESTION
What is the limit of
e
−
x
e^{-x}
e
−
x
as
x
x
x
approaches infinity?
QUESTION
What is the limit of
x
3
x^3
x
3
as
x
x
x
approaches
−
2
-2
−
2
?
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ANSWER
−
8
-8
−
8
. Direct substitution:
(
−
2
)
3
=
−
8
(-2)^3 = -8
(
−
2
)
3
=
−
8
.
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