Is Beowulf selfish in his hunger for fame?

I do not believe that Beowulf is selfish in his hunger for fame. After thinking about the quote from Beowulf's boast, "fame after death is the noblest of goals" (1388-1389), it can easily be seen that Beowulf wants to be famous for his great accomplishments after he dies. But I really don't think this is the only thing on his mind either. I believe that since his father was strong and was a hero, Beowulf wants to follow in his footsteps and just be like him. Beowulfs strength is like a part of him, he was born with it. It's as if someone was born extremely smart. They were born with the gift, so why not use it? This is how I think Beowulf feels.