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Day 1, Problem 1
IMC 2019 · Problem 1
Day 1
26th IMC · Blagoevgrad, Bulgaria
Statement
Evaluate the product
∏
n
=
3
∞
(
n
3
+
3
n
)
2
n
6
−
64
.
\prod_{n=3}^{\infty} \frac{(n^3 + 3n)^2}{n^6 - 64}.
n
=
3
∏
∞
n
6
−
64
(
n
3
+
3
n
)
2
.
Official solution
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Day 1 · Problem 2