What would happen if the sun was half its size? What would happen if it was double its size?
That depends on its mass.
Before our sun shrinks to less than half its current size, it will double in size in another 3–4 billion years, making life on Earth impossible in each scenario.
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If the Sun was half or double its mass it would still be a star but a different type.
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Half the size of the Sun would make it a smaller, colder star, producing less energy and lowering Earth's temperature; twice the size of the Sun would make it a larger, hotter star, possibly raising Earth's temperature and changing its habitability.
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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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