Why would an isolated black hole in space be difficult to detect?

Answer 1

Since not even light can escape a black hole, they are only visible due to their effect on other celestial bodies.

We see quasars, not black holes; we see the effect of gravity lenses, which is the distortion of light from passing galaxies by the black hole's gravity. If a black hole were isolated and had nothing to affect its gravity, we would not be able to see it.

The link to a gravity lensing simulation is now posted in the comments section below because I attempted to add it but it wouldn't work.

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Answer 2

Clara Avalos

Since it emits no light or other electromagnetic radiation, an isolated black hole in space would be difficult to detect; its existence can only be inferred from indirect observations, such as gravitational effects on nearby objects or radiation emitted by matter falling into the black hole.

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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.