The world will eventually end when the Sun expands as it’s life cycle comes to an end. This is a good picture showing the life span of the Sun, so you can see how long the Earth has. By the time the Sun is a Red Giant, it will have swallowed up the Earth.
However, humans might die out before then due to some other catastrophe like a meteorite hitting the Earth, or some other thing. But it’s very unlikely to happen in your lifetime or mine.
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