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Mathematics
Problem
Write the following limit as a single definite integral (do not evaluate):
lim
n
→
∞
∑
i
=
1
n
1
+
2
i
n
2
n
.
\lim_{n\to\infty}\sum_{i=1}^{n}\sqrt{1+\frac{2i}{n}}\,\frac{2}{n}.
n
→
∞
lim
i
=
1
∑
n
1
+
n
2
i
n
2
.
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