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