What is the limit of the expression (3sqrt{n})^(1/2n)?

[shannon]

Homework Statement

Determine the limit of:

lim ((3sqrt{n})^(1/2n))

Homework Equations

The Attempt at a Solution

I don't even know where to begin...perhaps squaring the entire term so I get..

9n^(1/[4n^2]) which is equivalent to n^[1/(n^2)]

But I don't know what the limit of that is...I graph it and get all kinds of craziness
Please help!

 

[Tedjn]

The limit as n -> ?