Alternating Series Error Bound
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Estimate the error bound for the 5th partial sum of
∑
(
−
1
)
n
/
n
4
\sum (-1)^n/n^4
∑
(
−
1
)
n
/
n
4
.
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
.
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ANSWER
Error is less than or equal to
1
4
5
=
1
1024
\frac{1}{4^5} = \frac{1}{1024}
4
5
1
=
1024
1
. The 4th term is
1
4
5
\frac{1}{4^5}
4
5
1
for the 3rd partial sum.
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