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Mathematics
Problem
For the series
∑
n
=
1
∞
(
−
1
)
n
+
1
n
0.99
\displaystyle\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^{0.99}}
n
=
1
∑
∞
n
0.99
(
−
1
)
n
+
1
, determine whether the series (i) converges absolutely, (ii) converges conditionally, or (iii) diverges. Justify your conclusion in one or two sentences.
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