MATH 2A Lecture Notes - Lecture 7: Asymptote, Farad

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Math 2a - lecture 7 - the limit of a function. When we talk about the limit of a function, when x a (when x approaches the value of a). Suppose that f(x) is defined when x is near the number a. (this means that f is defined on some open interval that contains a, except possibly at a itself) = l and we say the limit of f(x), as x approaches a, equals l. Calculate the value of lim x 1 x 1 x 12. We know that the function above is not defined at x=1, in other words, x=1 is not in the domain of the function above (neither x=-1) But when we are talking about limits, we really do not care about the value of the function at that point. We are only interested in the behavior of the function at values very close to that specific point x<1.

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