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During many Calculus courses the Concept of Limits are taught to students by showing them how, but not why. The purpose of this essay is to discuss and teach the concepts of Limits and why they exist. Limits are very important in all fields involving any form of math, whether solving the acceleration of a rocket ship to analyzing and interpolation stock market data. A Limit is the height a function Intends to reach at a given x value, whether or not it actually reaches it (Kelly 57). By using f(x), a, and L we say that, “the Limit of f(x), as x approaches a, equals L” (Stewart 91). Lim f(x) = L Which in English means, we can make f(x) as close to L as we can by taking x sufficiently close to a, but not equal to a (Stewart 91). Now Limits have certain rules to follow if they want to be Limits. First, the Limit of a point only exists when the limits from the approaching the point from the left