Introduction to Limits

1What is a limit?

1.1Stars and functions

Two young mathematicians discuss stars and functions.

1.2What is a limit?

We introduce limits.

1.3Limits exercises

Here is an opportunity for you to practice limits.

2Limit laws

2.1Equal or not?

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

2.2The limit laws

We give basic laws for working with limits.

2.3The Squeeze Theorem

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

2.4Limit laws exercises

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

3Evaluating Limits with Indeterminate Forms

3.1Could it be anything?

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

3.2Limits of the form zero over zero

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

3.3Limits 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.