【正确答案】Dear Lily,
I'm coming to borrow your new Longman dictionary when you are absent. I hope you could lend it to me since I am translating some essays at present which are of great importance to me. It seems that the old-edition dictionary I own is out of date, because I can't find out many new words in it and this made my job of translation become quite difficult. If you could lend me yours, I'm sure it will do a great deal of help. I promise that I will be very careful to keep your dictionary and make no damage, and of course, I would return it as soon as I finish my translating. Thank you very much!
Yours sincerely,
Li Ming