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Evaluate this infinite product (Posted on 2008-06-05) Difficulty: 3 of 5
Let:

A0 = 0
A1 = √(1/2 + 1/2*A0)
A2 = √(1/2 + 1/2*A1)
A3 = √(1/2 + 1/2*A2)
...
An = √(1/2 + 1/2*An-1)
...

Evaluate, analytically, the infinite product

P = A1 * A2 * A3 * ...

See The Solution Submitted by pcbouhid    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Identity of numeric value | Comment 2 of 5 |

The numeric value for P in Charlie's post is 2/ð

WHY that should be the product is the question, however, and it's one for which I do not have an answer.


  Posted by Paul on 2008-06-06 16:03:28
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