The Famous Series

eˣ, sin x and cos x

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• $e^x = \sum \frac{x^n}{n!}$.
• $\sin x$ and $\cos x$ use alternating odd and even powers.
• These three series work for every x. Factorials make the terms shrink fast.

Steps

1. Three classics
2. Adding terms
3. Computing e
4. A sine by hand
5. A logarithm by hand
6. Odd and even