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Mathematics
Problem
The
n
n
n
th partial sum of a series is given by
S
n
=
5
n
2
+
3
2
n
2
−
1
S_n=\dfrac{5n^{2}+3}{2n^{2}-1}
S
n
=
2
n
2
−
1
5
n
2
+
3
. Determine the sum of the series or state that it diverges.
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