Introduction to Limits

What is a limit?

Stars and functions

Two young mathematicians discuss stars and functions.

What is a limit?

We introduce limits.

Limits exercises

Here is an opportunity for you to practice limits.

Limit laws

Equal or not?

Here we see a dialogue where students discuss combining limits with arithmetic.

The limit laws

We give basic laws for working with limits.

The Squeeze Theorem

The Squeeze theorem allows us to exchange difficult functions for easy functions.

Limit laws exercises

Here is an opportunity for you to practice limit laws and the Squeeze Theorem.

Evaluating Limits with Indeterminate Forms

Could it be anything?

Two young mathematicians investigate the arithmetic of large and small numbers.

Limits of the form zero over zero

We want to evaluate limits where the Limit Laws do not directly apply.

Limits with indeterminate forms exercises

Here is an opportunity for you to practice evaluating limits with indeterminate forms.

You can download a Certificate as a record of your successes.