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Mathematics
Problem
State the two conditions that must be satisfied by the positive terms
b
n
b_n
b
n
of an alternating series
∑
n
=
1
∞
(
−
1
)
n
−
1
b
n
\displaystyle \sum_{n=1}^{\infty}(-1)^{n-1} b_n
n
=
1
∑
∞
(
−
1
)
n
−
1
b
n
in order to guarantee that the series converges.
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