Of course, the fact that Denmark's former Prime Minister, Anders Fogh Rasmussen, is the Secretary-General of NATO might have something to do with it.* Anyway, anything the US can do to help out the Danes is a good thing--rescuing one of their citizens is even better than rescuing a boat full of Iranian sailors.
* The fact that I got heaps of help from the Danish government and scholars during my research on NATO and Afghanistan has almost nothing to do with my positive attitude towards the Danes. Ok, maybe it does. Then again, I got heaps of help and great access in every country I visited [I didn't visit Italy since the help was not forthcoming].