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Mathematics
Mathematics
Problem
The value of
lim
n
→
∞
n
{
1
3
n
2
+
8
n
+
4
+
1
3
n
2
+
16
n
+
16
+
⋯
+
n terms
}
\lim_{n \to \infty} n \left\{ \frac{1}{3n^2 + 8n + 4} + \frac{1}{3n^2 + 16n + 16} + \dots + \text{n terms} \right\}
lim
n
→
∞
n
{
3
n
2
+
8
n
+
4
1
+
3
n
2
+
16
n
+
16
1
+
⋯
+
n terms
}
is equal to a.
1
2
log
(
9
5
)
\frac{1}{2} \log \left( \frac{9}{5} \right)
2
1
lo
g
(
5
9
)
b.
1
3
log
(
9
5
)
\frac{1}{3} \log \left( \frac{9}{5} \right)
3
1
lo
g
(
5
9
)
c.
1
4
log
(
9
5
)
\frac{1}{4} \log \left( \frac{9}{5} \right)
4
1
lo
g
(
5
9
)
d. None of these
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