Why do stars appear to twinkle?
due to our atmosphere
Because of the refraction caused by our atmosphere, the star appears to be twinkling to us.
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Stars appear to twinkle due to the effects of Earth's atmosphere. As starlight travels through the atmosphere, it passes through different layers of air, each with varying temperatures and densities. These variations cause the light to refract or bend slightly, leading to fluctuations in the intensity and position of the star's apparent brightness. This bending of light causes the star to appear to shimmer or twinkle when viewed from Earth.
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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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