Algebraic Properties of Limits
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the limit of a power function:
If
lim
x
→
a
f
(
x
)
=
L
\text{If }\text{lim}_{x \to a} f(x) = L
If
lim
x
→
a
f
(
x
)
=
L
, what is
lim
x
→
a
[
f
(
x
)
]
n
\text{lim}_{x \to a} [f(x)]^n
lim
x
→
a
[
f
(
x
)
]
n
?
QUESTION
What is the limit of a power function:
If
lim
x
→
a
f
(
x
)
=
L
\text{If }\lim_{x \to a} f(x) = L
If
lim
x
→
a
f
(
x
)
=
L
, what is
lim
x
→
a
[
f
(
x
)
]
n
\lim_{x \to a} [f(x)]^n
lim
x
→
a
[
f
(
x
)
]
n
?
QUESTION
What is the limit property for a constant multiple:
If
lim
x
→
a
f
(
x
)
=
L
\text{If }\text{lim}_{x \to a} f(x) = L
If
lim
x
→
a
f
(
x
)
=
L
, what is
lim
x
→
a
[
c
f
(
x
)
]
\text{lim}_{x \to a} [cf(x)]
lim
x
→
a
[
c
f
(
x
)]
?
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ANSWER
The limit is
c
L
cL
c
L
. Constant multiple property: factor out constants.
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