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Mathematics
Mathematics
Problem
Evaluate the limit
lim
n
→
∞
∑
i
=
1
n
(
1
+
3
i
n
)
2
3
n
.
\lim_{n\to\infty}\sum_{i=1}^{n}\left(1+\frac{3i}{n}\right)^{2}\,\frac{3}{n}.
n
→
∞
lim
i
=
1
∑
n
(
1
+
n
3
i
)
2
n
3
.
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