A Quick Word about Limits

This chapter is about the concept of Limits. This is the first calculus topic in this book. [br][br]Limits provide an essential method for investigating, or "studying" functions. Indeed, as we'll see in the [url=https://www.geogebra.org/m/x39ys4d7#material/zruqdnrq]definition of a limit[/url], limits [i]are[/i] a method of study. Usually we study functions with the aid of limits, but a limit can be used to investigate any process that doesn't terminate. This might sound outlandish now, but I hope you'll see what I mean before this chapter is concluded.[br][br]In this chapter we'll investigate just a few functions with limits. We will only be concerned with limits in so much as they lead us to the concept of the [b]Derivative[/b] which we'll continue studying at length in the next chapter. This is the least "applied" chapter of the book because the application of limits is derivatives, but we can't talk about derivatives until we've discussed limits. [br][br]This is the shortest chapter in this book. I really put the pedal to the metal here to get us to applications as quickly as possible.

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