12.1 Limits

Definition: If f(x) becomes arbitrarily close to a unique number L as X approaches C from either side, the limit of f(x) as X approaches C is L

Examples:

Find the limit

1.

Limit is found by plugging in a 2 for x

2.

means as C approaches 2 from the right

means as C approaches 2 from the left

When limits do not exist (DNE)

1.

2.

3.