Alternating Series Error Bound
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Determine if
∑
(
−
1
)
n
/
(
n
4
+
n
)
\sum (-1)^n/(n^4 + n)
∑
(
−
1
)
n
/
(
n
4
+
n
)
converges.
QUESTION
Find the error bound for the 3rd partial sum of
∑
(
−
1
)
n
/
n
5
\sum (-1)^n/n^5
∑
(
−
1
)
n
/
n
5
.
QUESTION
What is the maximum possible error for an alternating series approximation?
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ANSWER
Error
E
n
=
∣
a
n
+
1
∣
\text{E}_n = |a_{n+1}|
E
n
=
∣
a
n
+
1
∣
. The error equals the absolute value of the next unused term.
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