What is the life cycle of the Vega star?
About half a billion years longer till it dies.
Vega’s distinctly blue color indicates a surface temperature of nearly 17,000 degrees F, making it about 7,000 degrees hotter than our sun. Roughly 2.5 times the diameter of the sun, and just less than that in mass, Vega’s internal pressures and temperatures are far greater than our sun, making it burn its fuel faster. This causes Vega to produce 35-40 times the energy of the sun, which in turn shortens its lifetime. At about 500 million years, Vega is already middle-aged. Currently it is only about a tenth the age of our sun, and will run out of fuel in another half-billion years.
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Main-sequence stars like Vega, Alpha Lyrae, and others go through multiple stages in their life cycle: molecular cloud formation, main-sequence phase (where their core fuses hydrogen and helium), expansion into red giants, shedding of their outer layers as planetary nebulas, and finally contraction into white dwarfs.
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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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