Module 1 Limits from Tables

Front

What is a limit in calculus?

Back

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

Front

Back

Front

What does it mean for a limit to not exist?

Back

A limit does not exist if the function does not approach a specific value as the input approaches a certain point.

Front

Back

Look for the values of f(x) as x approaches c from both the left and the right. If they are equal, that is the limit.

Front

Back

The limit is 9.

Front

What is the limit of f(x) as x approaches -4 if f(x) is continuous at that point?

Back

The limit is equal to f(-4).

Front

Back

It means that as x approaches 3, the values of f(x) approach 0.

Front

What is the limit of f(x) as x approaches c from the left?

Back

It is the value that f(x) approaches as x gets closer to c from values less than c.

Front

What is the limit of f(x) as x approaches c from the right?

Back

It is the value that f(x) approaches as x gets closer to c from values greater than c.

Front

Back

If f is continuous at c, then f(c) = L.