perplexus.info :: Calculus : Powering Up the Root

Powering Up the Root (Posted on 2011-09-24)

A sequence {A(n)} satisfies:

A(1) = √2, and:

A(n)= (√2)^A(n-1) for n =2, 3,ЕЕ

Determine this limit:

Limit A(n)
n → ∞

Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Solution: (Hide)

The required limit is 2.
For an explanation refer to the respective solutions submitted by Steve Herman and Charlie here and here.

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

Subject	Author	Date
computer solution	Charlie	2011-09-24 14:57:05
By inspection (spoiler)	Steve Herman	2011-09-24 14:53:58
spoiler	Ady TZIDON	2011-09-24 11:59:09

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