My bad; I should have posted how to do this through the GUI. I've edited my previous post to reflect this.

First of all, there should be a space between JavaApplicationStub and /Applications.

Secondly, you left off the final s on Applications.

Third, the OS X command line is case-sensitive and you didn't capitalize LimeWire properly.

You should have 3 things in one command, each seperated by a space
(1) cp

(2) /System/Library/Frameworks/JavaVM.framework/Versions/Current/Resources/MacOS/JavaApplicationStub

(3) /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire

So bringing it all together, if you can stretch your streen wide enough and stretch your terminal wide enough, it should look like one line with two spaces in it:
cp /System/Library/Frameworks/JavaVM.framework/Versions/Current/Resources/MacOS/JavaApplicationStub /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire