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Mathematics
Problem
The partial sums of a series are
S
n
=
2
+
(
−
1
)
n
1
n
S_n = 2 + (-1)^n\dfrac{1}{n}
S
n
=
2
+
(
−
1
)
n
n
1
. Does the series converge or diverge? Explain your conclusion in terms of the limit of
S
n
S_n
S
n
.
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