How long do massive stars last?
Depending on the mass. If a star has 20 times the mass of the sun, its lifetime will be a few hundred million years. Between 8-19 solar masses, it lifespan could be a few hundred million to a few billion.
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Because they burn their nuclear fuel much more quickly than smaller stars, massive stars usually have shorter lifetimes—between a few million and a few tens of millions of years—before exploding into a supernova that leaves behind remnants like neutron stars or black holes.
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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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