Inhabitants of the undying lands: immortal?

[Blokdog]

oke, thank you very much!
still, I've read a few books to find info on this, and in at least two was said that they still lived. in the tolkien companion by j.e.a. tyler was said "in that far green country they still live", and in another book already mentioned in my first post is said about gimli that he lived eternal with his friend.
also, talking about gimli, there are, I think, three possibillities:
* one: legolas took gimli with him and he lived forever in aman
* two: he took gimli, who died in aman
* three: he didn't at all take him to aman, in which case he anyway died.
the third reason seems unlikely, seeing the strange, but very great friendship between them, but I think that if you know that someone you really like will die in a country where nobody else dies, will make you think twice over such a decision. so, if he, for that reason, didn't take him with him, I think we can say that he would have died there.
about frodo: I can see a link between Eärendil and Frodo. Eärendil was granted ( the choice for ) immortality because he tried to save the world. frodo, of course did the same ( and sam for a part too ), so if mandos changed the gift for Eärendil, it seems logical to me that he did the same to frodo ( and eventually sam ).
do you btw understand my english?