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 if a limit does not exist (dne)?

Back

It means that the function does not approach a specific value as the input approaches a certain point.

Front

How do you determine the limit of a function from its graph?

Back

You observe the y-values that the function approaches as x approaches a specific value.

Front

What is the limit of a constant function?

Back

The limit of a constant function is the constant itself, regardless of the input.

Front

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

Back

It is the value that the function approaches as x increases without bound.

Front

Back

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

Front

Back

The limit is 4.

Front

What is the Squeeze Theorem?

Back

Front

What is the limit of a piecewise function?

Back

The limit is determined by the behavior of the function from both sides of the point in question.

Front

What is the relationship between continuity and limits?

Back

A function is continuous at a point if the limit exists at that point and equals the function's value.