Definition
To pass away; to die.
逝世
After a long illness, he finally gave up the ghost.
經過長時間的病痛，他終於撒手人寰。
When she heard the news, she felt as if she was about to give up the ghost herself.
當她聽到這個消息時，她感覺自己快要不行了。
He looked very ill, as if he might give up the ghost at any moment.
他看起來病得很重，好像隨時都可能離開人世。
To cease functioning; to break down or stop working, typically referring to machines or devices.
（機器）壞了
My old computer finally gave up the ghost, I need to buy a new one.
我的舊電腦終於壞了，我得買一台新的。
The old car gave up the ghost halfway through the trip.
那輛老舊的汽車在旅途中壞掉了。
The old machinery in the factory started having problems and eventually gave up the ghost.
工廠裡的舊機器開始出現問題，最終完全壞掉了。
To cease attempting something due to the belief that success is unattainable; to lose hope or be resigned to failure.
放棄
I tried several times to fix it, but I finally gave up the ghost.
我試了好幾次想修好它，但最終還是放棄了。
After hours of searching, they knew they had to give up the ghost of finding the missing hiker.
經過幾個小時的搜索，他們知道必須放棄尋找失蹤的登山者。
Despite his best efforts, he decided to give up the ghost and start something else.
儘管他盡了最大的努力，他還是決定放棄並開始做其他事情。