Did he achieve his goal prove your point? In The battle with Grendel

Sagot :

  A hero of the Geats, comes to the aid of Hroðgar, the king of the Danes, whose mead hall in Heorot has been under attack by a monster known as Grendel. After Beowulf slays him, Grendel's mother attacks the hall and is then also defeated. Victorious, Beowulf goes home to Geatland (Götaland in modern Sweden) and later becomes king of the Geats. After a period of fifty years has passed, Beowulf defeats a dragon, but is fatally wounded in the battle. After his death, his attendants bury him in a tumulus, a burial mound, in Geatland.

Beowulf's battle between Grendel:
Beowulf and his men spend the night in Heorot. Beowulf refuses to use any weapon because he holds himself to be the equal of Grendel.During the battle, Beowulf has been feigning sleep and leaps up to clench Grendel's hand. The two battle until it seems as though the hall might collapse. Beowulf's retainers draw their swords and rush to his aid, but their blades cannot pierce Grendel's skin. Finally, Beowulf tears Grendel's arm from his body at the shoulder and Grendel runs to his home in the marshes and slowly dies.

(The second battle is between Grendel's mother and the third battle was the slaying of the dragon.)