Mastering Olympiad Mathematics
A collection of intriguing competition level problems for secondary school students.
Showing posts with label
product from n=2 to infinity
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Showing posts with label
product from n=2 to infinity
.
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Tuesday, May 26, 2015
Putnam Math Exam Problem: Evaluate [MATH]\prod_{n=2}^{\infty}\frac{n^3-1}{n^3+1}[/MATH]
Putnam Math Exam Problem:
Evaluate [MATH]\prod_{n=2}^{\infty}\frac{n^3-1}{n^3+1}[/MATH].
I admit it, the first (or should I say, the only) thing that we could do about the given fraction's expression, is to factor it:
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