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 → ∞

See The Solution Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

By inspection (spoiler)

| Comment 2 of 3 |

If it has a limit x,

then x= sqrt(2)^x

So yes, x = 2

Posted by Steve Herman on 2011-09-24 14:53:58

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