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MathNet 2018-part-01 — 181 problems (EN–VI) Question 64

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 64

Compute the following product:
$$
\prod_{m=1}^{2018} \frac{(2m-1)^4 + \frac{1}{4}}{(2m)^4 + \frac{1}{4}}
$$