Meaning of the word "hopeless"

hopeless
certain to fail
[adjective]
Examples:
• the situation is hopeless
(informal to emphasize how bad it is) beyond hope of management or reform
[adjective]
Examples:
• she handed me a hopeless jumble of papers
• he is a hopeless romantic
of a person unable to do something skillfully
[adjective]
Examples:
• I'm hopeless at mathematics
without hope because there seems to be no possibility of comfort or success
[adjective]
Examples:
• in an agony of hopeless grief
• with a hopeless sigh he sat down