Incorrect. It will not go out then, it will simply grow into a red giant and "swallow" earth.


Also of the sun went out somehow sooner than that, it would go super nova or make a black hole, either way destroying earth.

Without sunlight anyway the planets temperature would drop, killing life on the planet, turning earth into a frozen wasteland.

Not even our technology could save us, it would take a lot of power to heat a base up in those conditions for a long time, and food would be hard to obtain, as leaving the base means freezing to death. Without sunlight you cant really grow anything without wasting energy, and without fuel there's no energy, so no life, basically life would be impossible to sustain with our current ways.