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Powering Up the Root (Posted on 2011-09-24) Difficulty: 3 of 5
A sequence {A(n)} satisfies:

A(1) = √2, and:

A(n)= (√2)A(n-1) for n =2, 3,

Determine this limit:

Limit A(n)
n → ∞

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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