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MathNet 2018-part-07 — 177 problems (EN–VI) Question 125

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 125

Is the number
$$
\left(1+\frac{1}{2}\right)\left(1+\frac{1}{4}\right)\left(1+\frac{1}{6}\right) \ldots\left(1+\frac{1}{2018}\right)
$$
greater than, less than, or equal to $50$?