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Mathematics
Mathematics
Problem
Evaluate
S
=
∑
r
=
0
n
−
1
1
4
n
2
−
r
2
S = \sum_{r=0}^{n-1} \frac{1}{\sqrt{4n^2 - r^2}}
S
=
∑
r
=
0
n
−
1
4
n
2
−
r
2
1
as
n
→
∞
n \to \infty
n
→
∞
.
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