What if all the galaxies are merely orbiting the center of the universe, but their orbit is so big that it seems like they're moving away?
The universe does not have a center.
Consider the universe as a balloon, with all of the galaxies adhered to its skin. As the balloon expands, the galaxies get farther apart from one another.
One thing to keep in mind, though, is that all galaxies are thought to be a part of much larger clusters or groups. Our own galaxy is a part of what is known as the "local group," of which there are roughly a dozen dwarf galaxies. The reason I bring this up is that Andromeda is headed for a collision with the Milky Way, seemingly contradicting everything I just said.
According to the most recent theory, grouped galaxies are therefore moving away from all other grouped galaxies.
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The observed redshift in the light from distant galaxies is attributed to the expansion of the universe, supported by Hubble's law and consistent with general relativity; this scenario is ruled out by the Copernican principle and observational evidence from the cosmic microwave background radiation. At present, the understanding is that the universe is isotropic and homogeneous, and galaxies are not orbiting a central point.
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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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