How can black holes be detected if they are invisible?

Answer 1

X-RAYS

Some black holes have a companion star. When the gases from the companion star are pulled into a black hole, the gases are heated. Before the gases are sucked into the black hole and lost forever, they may give off some X-rays. So scientists can detect black holes by the X-rays given off when matter falls into the black holes.

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Answer 2

Levi Alexander

In addition to detecting radiation from material falling into black holes, or accretion disks, one can detect black holes indirectly through the bending of light around them, a phenomenon known as gravitational lensing. Black holes can also be detected through their gravitational effects on nearby objects, such as stars and gas clouds.

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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.