He seems to have too much courage
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You could certainly argue Beowulf has some character imperfections but the poem is ultimately an epic and not a tragedy. That is, the effect of the poem is not to exhibit man's meaninglessness but rather to celebrate his strength. Though Beowulf dies at the end, he does so after both a long, successful reign and he does so in the heat of battle. And he kills the dragon when he dies. Really, he tends to exemplify the qualities of his culture and dies in service of those, rather than falling because of a "tragic flaw."