1. An Introduction to Limits

2. Let’s look at a polygon inscribed in a circle.
What happens as n gets bigger?

3. Four true statements:
As n gets larger, the n-gon gets closer to being the circle.
As n approaches infinity, the n-gon approaches the circle.
The limit of the n-gon, as n goes to infinity, is the circle.

5. Think about the following sequence of numbers:
What’s happening to each number?
What is the sequence getting closer to?
Will it ever reach that value?

6. So we could write….

7. What about this one?

8. Here’s a graph of f(x) =