Taylor and Maclaurin Series
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
Determine the interval of convergence for
ln
(
1
+
x
)
\text{ln}(1+x)
ln
(
1
+
x
)
Maclaurin series.
QUESTION
What is the Maclaurin series for
cos
(
x
)
\text{cos}(x)
cos
(
x
)
?
QUESTION
State the formula for the
n
t
h
n^{th}
n
t
h
term of a Taylor series.
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ANSWER
f
(
n
)
(
a
)
(
x
−
a
)
n
n
!
\frac{f^{(n)}(a)(x-a)^n}{n!}
n
!
f
(
n
)
(
a
)
(
x
−
a
)
n
. Standard form for any term in Taylor expansion.
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