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Precalculus

Introduction to Calculus

PrecalculusIntroduction to Calculus
Runner Usain Bolt beginning a race
Jamaican sprinter Usain Bolt accelerates out of the blocks. (credit: Nick Webb)

Chapter Outline

12.1 Finding Limits: Numerical and Graphical Approaches
12.2 Finding Limits: Properties of Limits
12.3 Continuity
12.4 Derivatives

The eight-time world champion and winner of six Olympic gold medals in sprinting, Usain Bolt has truly earned his nickname as the “fastest man on Earth.” Also known as the “lightning bolt,” he set the track on fire by running at a top speed of 27.79 mph—the fastest time ever recorded by a human runner.

Like the fastest land animal, a cheetah, Bolt does not run at his top speed at every instant. How then, do we approximate his speed at any given instant? We will find the answer to this and many related questions in this chapter.

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