Problem 421. Multiply to the limit?

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If y = 4*x*x/pi/pi then what is the ultimate limiting result of (1+y/1/1)(1+y/3/3)(1+y/5/5)(1+y/7/7)... ... within 1000*eps?

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James on 29 Aug 2012

Check out
http://pi.physik.uni-bonn.de/~dieckman/InfProd/InfProd.html#InfinitexProducts for a hint

Rafael S.T. Vieira on 8 Nov 2020

My solution is the longest, and I followed James' tip. My tip is that there is a MATLAB function (Elementary Math) that computes this value with one call (no loops are required).

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Problem 421. Multiply to the limit?

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Problem 421. Multiply to the limit?

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Last 200 Solutions

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