A limit is the number that you approach from either the left or the right on a graph and get arbitrarily close to that number, but never reach it. A limit only exists if both sides of that limit are approaching the same number. For example, if F(x)= (x^2+x-6)/ (x-2), the function has a limit of two because the graph approaches 2 from either side and only comes arbitrarily close. They help explain points of discontinuity on a graph by showing what the function is approaching on both sides of the discontinuity. With all of this said, I strongly dislike limits.
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MeganThis is my Math Blog for Pre-Calculus! Categories |