1. Pythagoras was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music. The theorem now known as Pythagoras's theorem was known to the Babylonians 1000 years earlier but he may have been the first to prove it. Pythagoras of Samos 580 – 500 B.C. Pythagoras of Samos 580 – 500 B.C.

2. Limit Theorems

5. Example 2

9. Example 3 Simplify each limit algebraically using the properties of limits.

10. Limit Theorems These theorems are also true for directional limits.

11. Example 4 Example 5

12. Example 6