Calculus I

CHAPTER5

Take It to the Limit

In This Chapter

• Understanding what a limit is
• Why limits are needed
• Approximating limits
• One-sided and general limits

When most people look back on calculus after completing it, they wonder why they had to learn limits at all. For some, it’s like getting all of their teeth pulled just for the fun of it. After a brief limit discussion at the start of the course, there are very few times that limits return, and when they do, it is only for a brief cameo role in the topic at hand. However, limits are extremely important in the development of calculus and in all of the major calculus techniques, including differentiation, ...