Do supermassive black holes cause galaxy rotation?
Not in and of themselves, no.
The fact that we don't know how galaxies form in the first place and that none are known to be forming at the moment contributes to the difficulty in providing an answer.
However, we do know a good deal about the formation of stars, and we can use this knowledge to make conjectures about galaxies. A star originates from gas pools that cling to one another. As these pools get larger, a "dent" in the space/time continuum forms, which we call gravity. This causes more hydrogen to be drawn in, but Newton's laws of motion come into play here, especially the one about 'body in motion tends to stay in motion and in a straight line.' The force of gravity pulls the atom out of its straight-line motion, as you can see when you drain your own bathtub; instead of the water falling straight down the pipe, it swirls around.
In galaxies, the same idea operates.
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While supermassive black holes do not directly cause galaxies to rotate, their gravitational pull can have an impact on the dynamics of gas and stars inside galaxies, which may contribute to the general patterns of rotation that are seen in galaxies.
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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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