I've always wondered why it's sometime με and other times μου in situations like this. It's been explained to me once, but I never got it. Thanks!
There is an analytical explanation in the tips & notes of the "personal pronouns" lesson.
I don't understand why αυτός με έδωσε το φρουτο is incorrect . Why "Αυτός μου έχωσε το φρουτο.?
The verb "give" has two objects -- a direct object (the thing that changes hands) and an indirect object (the recipient).
The recipient, if it's a pronoun, takes the genitive case in Greek; the object, the accusative.
Thus you need genitive μου here -- he gives it "to me".