perplexus.info :: Calculus : Evaluate this infinite product

Evaluate this infinite product (Posted on 2008-06-05)

Let:

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

Evaluate, analytically, the infinite product

P = A₁ * A₂ * A₃ * ...

See The Solution Submitted by pcbouhid

Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Analytical solution ======== what if?	pcbouhid	2008-06-08 02:11:44
Analytical solution	Daniel	2008-06-07 15:40:35
re: Identity of numeric value ------ a first hint	pcbouhid	2008-06-06 20:03:37
Identity of numeric value	Paul	2008-06-06 16:03:28
For what it's worth (numerical value)	Charlie	2008-06-05 12:27:29

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