(2/14)(3/14)(4/14)(5/14)(6/14)(7/14)(8/14)(9/14...

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, the term is exactly 1, and the product reaches its local minimum. As (2/14)(3/14)(4/14)(5/14)(6/14)(7/14)(8/14)(9/14...

, each fraction is less than 1. The product rapidly approaches zero. At AI responses may include mistakes

increases beyond 14, each new term is greater than 1. Because the numerator grows factorially ( ) while the denominator grows exponentially ( 14k14 to the k-th power consult a professional. Learn more

), Stirling's Approximation confirms that the product will ultimately diverge to infinity. 3. Visualization of Growth

The behavior of the sequence is dictated by the ratio of successive terms: