Limit Problem?!?

bt12345 said:
Show that lim n-> ? n( (x^(1/n) - 1 ) = lim -> ? n(1- 1/ x^(1/n)
(x > 0)

Here's the worksheet. My professor has some inequalities listed here. How do they apply to the problem?
http://img5.imageshack.us/img5/8731/cci00002l.jpg

I don't really know what to do.

Any help is greatly appreciated! thank you.

What would you get - if you divided the first function by the other (without considering the limit)?
 
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