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Is it possible that a black dwarf is undetected in our solar system and could impact earth?

Answer 1

A black dwarf is literally impossible to exist unless we are so far away that the universe is a million times older than it is. The time it would take to form a black dwarf is about a million times longer than the universe is thought to have existed for.

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Answer 2

Owen Atkinson

A black dwarf is the theoretical final stage of a white dwarf star, but it takes a lot longer for a white dwarf to cool down to become a black dwarf than it does for the universe to be that old. Moreover, since black dwarfs don't emit heat or light, they wouldn't be a threat to Earth if one were to exist in our solar system.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.