What are limits?

One of the primary concepts of calculus is the limit. The limit is analogous to taking the square root of a number: "limit is to functions as square root is to numbers" (10). So just as one can take the square root of a number, one can take the limit of a function. Limits always involve a point of interest on the function. In studying limits, one hopes to better understand the behavior of the function for all points around that point of interest.

is the problem for finding the limit of the function f(x)= x2 - x + 1 as x approaches 2 (the point of interest. To solve this limit one would simple plug in 2 for x and find that the limit of the function as x approaches 2, is 3.

10. Calculus Experience

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