Has anyone ever observed a black hole or are they only theories?
Black holes does not emit any radiation..It is due to their strong gravity .But by studying the behavior of stars orbiting the black hole we can find them indirectly.
Space-based X-ray telescopes are able to detect the X-rays that are released from the event horizon when matter falls into a black hole.
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Indeed, because of their nature, black holes are difficult to observe directly, though they have been observed indirectly through their effects on nearby matter and light.
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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.
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.
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.
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.

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