If you were to go outside and look at the sky at intervals of exactly one solar day how would the position of the sun and stars change, during daytime and during night?
In the celestial sphere, day and night skies are opposites. If the constellation Aquarius is in night sky, Leo will be in the day sky. Stars appear to turn at the angular rate 0.9856 deg/day.
The observer's angular orbital speed around the Sun is 360/385.256 = 0..9856 degrees per day. We see the same star configuration day and night, but only after a year.
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During daytime, if you observe the sky at intervals of exactly one solar day, you would notice the Sun moving across the sky from east to west due to the Earth's rotation. The stars would not be visible during this time due to the brightness of the Sun.
During nighttime, observing at intervals of one solar day, you would notice the stars appear to move from east to west, similar to the Sun, due to the Earth's rotation. However, the stars maintain their relative positions with respect to each other over long periods, so you would see the same patterns of constellations each night, albeit slightly shifted due to the Earth's orbit around the Sun.
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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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