Problem 421. Multiply to the limit?

Created by AMITAVA BISWAS

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>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?</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

203 Solutions
36 Solvers

Last Solution submitted on Oct 25, 2022

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

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).

Problem Recent Solvers36

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 421. Multiply to the limit?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers36

Suggested Problems

More from this Author100

Problem Tags

Community Treasure Hunt

Problem 421. Multiply to the limit?

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers36

Suggested Problems

More from this Author100

Problem Tags

Community Treasure Hunt

Players