A limit is a point or level beyond which something does not or may not extend or pass. It is a restriction on the size or amount of something permissible or possible. If a limit does not cross the "invisible line" than it does not exist. If a limit does cross the "invisible line" than it does exist. Taking the limit of a sequence tells us what happens at an infinite point of a sequence; it would be impossible to do it without limits, since we cannot do anything infinite times. Taking the limit of a function at a certain point is also important because it gives us a lot of specific information about the function around the given point. So basically, the limit is very useful, and it is used in almost every branch of math, I think.
There were two main connections I found between the factors and the zeros. The first connection was that when a factor is equal to x, it gives you the zeros to that problem. The second connection I found was that if you can find the zeros, it will give you the factors; and if you can find the factors, it will give you the zeros. Division helps us to factor polynomials because the division process gives you the factored form of the problem. The degree of the polynomial helps us to predict the number of zeros because it tells us how many zeros there will be in the problem we are solving. The degree of the polynomial does always tell us how many zeros there will be in the problem because that's how many x's there are.
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AuthorThis is my blog. Everything I do basically gets documented here!!! :D Archives
April 2015
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