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 expeand to form a red giant because the outward pressure?
Yes, a star becomes a red giant because of outward pressure increasing to the point when it is again in balance with gravity.
A star with less than eight solar masses begins to collapse when its core loses equilibrium between gravity and outward pressure due to a runout of hydrogen.
After drawing in hydrogen from the outer layers, the collapsing core heats up enough to initiate hydrogen fusion in the surrounding layer.
The star massively expands into a red giant due to pressure from the fusion in the core layer.
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Yes, a red giant is formed when the core shrinks due to the depletion of hydrogen in the core and the outer layers expand as a result of increased heat from helium fusion.
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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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