Limits - Graphs

Front

What is a limit in calculus?

Back

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

Front

What does it mean for a limit to exist?

Back

A limit exists if the function approaches the same value from both the left and right sides as the input approaches a certain point.

Front

What is the notation for a limit approaching a specific value?

Back

Front

What is the limit of a function at a point where it is continuous?

Back

Front

What does it mean for a function to be discontinuous at a point?

Back

A function is discontinuous at a point if the limit does not equal the function's value at that point or if the limit does not exist.

Front

How do you determine the limit from a graph?

Back

You can determine the limit by observing the y-values that the function approaches as x approaches a specific value.

Front

What is the difference between one-sided limits and two-sided limits?

Back

A one-sided limit considers the value from one direction (left or right), while a two-sided limit considers both directions.

Front

What is the limit of a function as x approaches infinity?

Back

The limit as x approaches infinity describes the behavior of the function as x increases without bound.

Front

What does 'dne' stand for in limit problems?

Back

'dne' stands for 'does not exist', indicating that the limit cannot be determined.

Front

Back

The limit does not exist (dne) because the function approaches infinity.