Limits by Substitution

• –12

• –2

• 12

• The limit does not exist.

• x

• 9

• 18

• The limit does not exist.

• 2

• 10

• 5

• The limit does not exist.

Define a limit

• The value of a function at a certain x-value

• The value of x when a function hits a certain point

• The value a function approaches when x approaches a certain value

• No Limit because it is undefined

• 3/2

• -3/2

• 2/3

Use the graph of g(x) to evaluate \lim_{x\rightarrow5}g\left(x\right)

• 1

• -3

• 2

• Does not exist

Using the table to find \lim_{x\rightarrow4}f\left(x\right)

• -1

• 0

• 1

• DNE

• 0

• 1

• -1

• Does not exist

Based on the table, the left and right sides of zero are approaching what y-value?

• 7

• 2

• -5

• 3