Answer: he is wounded in the neck which was mortal
How is Beowulf killed?

The protagonist Beowulf a hero of the Geats comes to the aid of Hrothgar king of the Danes whose great hall Heorot is plagued by the monster Grendel. Beowulf kills Grendel with his bare hands then kills Grendel's mother with a giant's sword that he found in her lair. Later in his life Beowulf becomes king of the Geats and finds his realm terrorized by a dragon some of whose treasure had been stolen from his hoard in a burial mound. He attacks the dragon with the help …

As told in the surviving epic poem Beowulf was the son of Ecgtheow a warrior of the Swedish Wægmundings. Ecgþeow had slain Heaðolaf a man from another clan (named the Wulfings) (according to Scandinavian sources they were the ruling dynasty of the Geatish petty kingdom of Östergötland). Apparently because the victim was from a prominent family the weregild was set...

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