Odysseus dodn't necessarily "leave" Penelope. He was advised by Athena to fight for Ithaca in the battle against Troy. Odysseus was reluctant to do so, for his wife had just given birth to a baby boy, Telemacus. He told Penelope that if he had not returned by the time that Telemacus had a beard, he was dead and that she would have to remarry to keep the kingdom.
Odysseus was displeased with Penelope because she continued to entertain suitors in his absence, despite him being away for many years. He was upset that she did not have faith in his return and feared that she might betray him.
When he came back from The Trojan War/his journey after 20 years she didn't believe it was really him, she thought it was someone pretending to be him. Since so many people had tried to trick her before.
Because she knows that the begger is odysseus from the bow test.
Odysseus' wife was Penelope, daughter of Icarius and Periboea.
he is the housekeeper for penelope and penelope is odysseus wife and odysseus is the king of ithleca
No, Penelope does not recognize that the beggar is Odysseus.
Odysseus left Penelope bound for Troy.
Odysseus was not strictly faithful to Penelope, but was faithful to her 'in his heart.'
Odysseus tells her so directly. Penelope then tests Odysseus, and he passes her test, confirming his identity.
No one did- Penelope ran a series of tests to identify Odysseus.
Odysseus who was dressed up as an old beggar told Penelope that Odysseus was alive and would return soon
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