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Alternating Series Remainder Bound
Worksheet
Grade Level
Calculus II
CAL2.125 Alternating Series Remainder Bound
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For \(\sum_{n=1}
\infty
(-1)
n
b_n\), let \(b_n=\frac{n+1}{n}\). Which response correctly addresses the alternating-series error bound?
A
\(∣R_N∣\le\frac{N+2}{N+1}\)
B
\(∣R_N∣\le\frac{1}{N+1}\)
C
\(∣R_N∣\le1\)
D
The alternating-series bound is not valid because \(b_n\to1\), not 0
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