Limits From Graphs & Tables

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 DNE stand for in the context of limits?

Back

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

Front

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

Back

You observe the y-values that the function approaches as the x-values get close to a specific point.

Front

What does it mean if a limit approaches different values from the left and right?

Back

It means the limit does not exist at that point.

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.

Front

How can you find limits using tables?

Back

By evaluating the function at values close to the point of interest and observing the trend of the outputs.

Front

Back

DNE, because the function approaches infinity from the left and negative infinity from the right.

Front

What is the significance of a hole in a graph regarding limits?

Back

A hole indicates that the function is not defined at that point, but the limit may still exist.

Front

What does it mean if a limit is infinite?

Back

It means that as x approaches a certain value, the function increases or decreases without bound.

Front

How do vertical asymptotes relate to limits?

Back

Vertical asymptotes indicate that the limit approaches infinity or negative infinity as x approaches the asymptote.