MATH 140 Lecture 7: Lecture 7 - 2.2.pdf
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L if we can make the values of by taking x to be suf ciently close to a. Math140 - lecture 7 notes f x arbitrarily close to. L (as close to l as we like) (on either side of ) but not equal to a tend to get closer and closer to the (from either side of ) but. Section 2. 2 the limit of a function |||| But in each case, regardless of what happens at. Roughly speaking, this says that the values of. De nition of a limit: lim f(x) = l; x -> a number. If we can make the values of f(x) arbitrarily close to l by taking x to be suf ciently close to a (on either side of a) but not equal to a . The only thing that matters is how as approaches f x x a. Figure 2 shows the graphs of three functions.