Two young mathematicians discuss stars and functions.

We introduce limits.

Here is an opportunity for you to practice limits.

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

We give basic laws for working with limits.

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

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

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

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

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

Here is an opportunity for you to practice finding one- and two-sided limits of piece-wise functions.

Two young mathematicians discuss the eating habits of their cats.

Continuity is defined by limits.

Here we use limits to ensure piecewise functions are continuous.

Here we see a consequence of a function being continuous.

Here is an opportunity for you to practice using the definition of continuity.

On this card, we investigate what is meant by the maxima and minima of a function.

On this card, we will determine the conditions that guarantee a continuous function has an absolute maximum and minimum.

Two young mathematicians discuss what curves look like when one ‘‘zooms out.’’

We want to solve limits that have the form nonzero over zero.

We explore functions that ‘‘shoot to infinity’’ at certain points in their domain.

We explore functions that behave like horizontal lines as the input grows without bound.

Here is an opportunity for you to practice evaluating limits that involve infinity.

Here is an opportunity for you to practice evaluating many different types of limits.

Here is an opportunity for you to practice evaluating many different types of limits.

Here is an opportunity for you to practice evaluating many different types of limits.

Here is an opportunity for you to practice evaluating many different types of limits.

This optional reflection is intended to be used before Exam 1. Here you can plan on how you intend to study for the exam. It will help you to think about how you can prepare for the exam and what resources you have at your disposal.