I'm not entirely sure which time you mean, so I'll put both.
The first time (when he leaves hiding to go to Troy): Achilles joins the Greeks because he wishes to pursue glory, and although he knows that he is destined to die in battle, he wants to be remembered and revered.
The second time (when he returns to battle after having pulled the Myrmidons and himself from battle after losing Briseis): Achilles rejoins the battle because his friend, Patroclus, is killed by Hector. Seeing as Patroclus was very close to him, Achilles seeks revenge for his death.
No; Achilles died in the Trojan War.
Yes, Achilles died before the Greeks could enter the city.
Achilles was killed during the Trojan War, so he didn't return home.
skill in battle.
Skill In Battle
Achilles was King of the Myrmidons, and, as such, was a member of the Greek contingent.
he fought
Achilles
achilles Ajax
No; Achilles died in the Trojan War.
Achilles said this to Odysseus.
Yes, Achilles died before the Greeks could enter the city.
Achilles was the primary reason the Greeks ever even had a chance, and ultimately, by killing Hector (the second best warrior in the battle), he allowed the Greeks to win the war.
In The Iliad, Book 22, Hector tells Achilles that should he (Hector) be victorious in their battle he will return Achilles' body to Greece and asks that should he die at Achilles' hand, Achilles should return Hector's body to Troy. Achilles refuses.
Achilles was killed during the Trojan War, so he didn't return home.
skill in battle.
Skill In Battle