gistfile1.cs

//this does not compile
new int[] {1, 2, 3, 4, 5, 6}.Select(i => new { i , root = () => i * i }) ;

//this does not compile
var query = from i in new int[] {1, 2, 3, 4, 5, 6}
            select new
       	{
       		i, 
		root = () => i * i
      	};

// this compile:
var query = from i in new int[] {1, 2, 3, 4, 5, 6}
            let foo = () => i * i
            select new
       	{
       		i, 
		root = foo
      	};


//however with the last example, this does not compile:
foreach (var item in query)
{
	item.root()
}

and the intelliscence seems a little bit crazy: 
http://www.screencast.com/users/JoseFR/folders/Jing/media/122504aa-b49f-4ce1-9762-6c893d408e85

//this works fine
var query = new[] {1, 2, 3, 4, 5, 6, 7}.Select(i => { 
                                                      dynamic expando = new ExpandoObject();
                                                      expando.i = i;
                                                      expando.root = () => i * i;
                                                      return expando
                                                     });

foreach(dynamic item in query){
  Console.WriteLine(item.root());
}