Limits and Continuity An introduction to Limits and how we will be using them

Limit L a

Examples of Limits Given Find

The Definition of Limit a

One-Sided Limits The right-hand limit of f (x), as x approaches a, equals L written: when we can make f (x) arbitrarily close to L by taking x to be sufficiently close to the right of a. L a

Examples Find the limits:

We can use this theorem to show a limit does not exist A Theorem We can use this theorem to show a limit does not exist For the function

HW 2 Problems 2.3, 2.5, 2.7, 2.8, 2.13, 2.18