It is an analysis of what happens when a certain variable gets closer and closer to a certain value. This is a complicated topic; for more detailed information, I suggest reading the first chapters of an introductory book on calculus. The prerequisite is that you al ready have a basic understanding of the algebra taught at high school.
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People say that infinity doesn't have a limit because that is the definition of the word infinity. This term is used in the fields of mathematics and of the sciences particularly physics.
When the limit as the function approaches from the left, doesn't equal the limit as the function approaches from the right. For example, let's look at the function 1/x as x approaches 0. As it approaches 0 from the left, it travels towards negative infinity. As it approaches 0 from the right, it travels towards positive infinity. Therefore, the limit of the function as it approaches 0 does not exist.
In mathematics, there is no limit to the number of dimensions that you can have. ================================ Additional dimensions is a tricky topic to discuss. It is as twisted as quantum mechanics. But no we cannot guarantee the existence of extra dimensions.
Mathematics"mathematics" is a plural noun already, the subject is Mathematics!
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