1.1 Limits Graphically Exit Ticket

Front

What is a limit in calculus?

Back

A limit is a value that a function approaches as the input approaches a certain point.

Front

What does it mean for a limit to exist from the left?

Back

A limit exists from the left if the function approaches a specific value as the input approaches that point from values less than the point.

Front

What does it mean for a limit to exist from the right?

Back

A limit exists from the right if the function approaches a specific value as the input approaches that point from values greater than the point.

Front

What is the notation for the limit of f(x) as x approaches a from the left?

Back

The notation is: lim (x -> a-) f(x).

Front

What is the notation for the limit of f(x) as x approaches a from the right?

Back

The notation is: lim (x -> a+) f(x).

Front

If the left-hand limit and right-hand limit are equal, what can we conclude?

Back

The limit exists at that point and is equal to the common value of both limits.

Front

What is the limit of the function as x approaches 1 from the left if the answer is 4?

Back

The limit is 4.

Front

What is the limit of the function as x approaches 1 from the right if the answer is -2?

Back

The limit is -2.

Front

Find the limit as x approaches 3 from the left if the answer is 4.

Back

The limit is 4.

Front

What is the limit of the function as x approaches -4 from the left if the answer is 2?

Back

The limit is 2.