Is Beowulf selfish?

There is no way that Beowulf is selfish in his search for fame. He is able to talk the talk and walk the walk. He didn't kill Grendel for his own health. He did it because he was asked to help, and he didn't want to see anybody else die. He did what was good for everybody else. He knows he is a good fighter, and he knew he could take Grendel. And he did. That does not make Beowulf selfish at all. He risked his own life to save the life of others. He was the only brave one to take on Grendel.