O'Reilly logo

Master Math: Pre-Calculus by Debra Anne Ross

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 5. Limits

  • 5.1 Introduction to Limits

  • 5.2 Limits and Continuity

Introduction to Limits

• In this section, the limit is described, examples of limits are given, as well as rules governing limits of functions that are added, subtracted, multiplied, divided, and raised to a power.

• The limit is used in the estimation of infinite sums and the definition of the derivative in calculus.

• In general, the limit is used to describe closeness of a function to a value when the exact value cannot be identified.

• If the Limx→af(x) = L, then it is said that the function f(x) gets close to and may equal some number L as x approaches and gets close to some number a.

• For example, consider the function:

  • f(x) = x2 + 2

What will the value of f(x) be close to when ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required