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Mathematics
Mathematics
Problem
Determine
lim
n
→
∞
5
n
2
−
1
2
n
2
+
3
\displaystyle\lim_{n\to\infty} \frac{5n^{2}-1}{2n^{2}+3}
n
→
∞
lim
2
n
2
+
3
5
n
2
−
1
and state whether the series
∑
n
=
1
∞
5
n
2
−
1
2
n
2
+
3
\displaystyle\sum_{n=1}^{\infty} \frac{5n^{2}-1}{2n^{2}+3}
n
=
1
∑
∞
2
n
2
+
3
5
n
2
−
1
converges or diverges.
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