In a main sequence star the gravity of the core is balanced by the outward pressure of the heat created by fusion of hydrogen atoms, maing it stable. So when the hydrogen is used up, does the star expand to form a red giant because the outward pressure?
Yes
A star's core contracts when all of its hydrogen is converted to helium. The high temperature and pressure created by these contractions triggers helium to start fusing inside the core, replacing the outward pressure that was previously created by hydrogen fusion with an energy that is far more intense. As a result, the hydrogen shell outside the core expands outward, and because the star's surface is now much larger than it was before, it burns cooler, giving it its characteristic red color.
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Yes, a main sequence star's core contracts while its outer layers expand, resulting in the formation of a red giant. This is because the equilibrium between gravity and outward pressure is upset when hydrogen fusion in the star's core stops.
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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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