Limits- Graphically

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?

Back

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

Front

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

Back

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

Front

What does it mean for a limit to be infinite?

Back

A limit is infinite if the function increases or decreases without bound as x approaches a certain point.

Front

What is the limit of f(x) as x approaches -4 from the left if f(x) = 2?

Back

The limit is 2.

Front

What is the limit of f(x) as x approaches -4 from the right if f(x) = -2?

Back

The limit is -2.

Front

What does DNE stand for in limits?

Back

DNE stands for 'Does Not Exist', indicating that the limit does not approach a specific value.

Front

How do you determine the limit graphically?

Back

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

Front

What is a one-sided limit?

Back

A one-sided limit is the limit of a function as x approaches a certain value from one side only (left or right).

Front

What is the limit of a constant function?

Back

The limit of a constant function as x approaches any value is the constant itself.