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Mathematics
Mathematics
Problem
Evaluate
lim
n
→
∞
(
1
2
n
+
1
+
1
2
n
+
2
+
⋯
+
1
6
n
)
.
\lim_{n \to \infty} \left( \frac{1}{2n+1} + \frac{1}{2n+2} + \dots + \frac{1}{6n} \right).
n
→
∞
lim
(
2
n
+
1
1
+
2
n
+
2
1
+
⋯
+
6
n
1
)
.
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