Infinite series

AP Calculus BC

Infinite Series

Infinite Series

Divergence Test

The fact that does not guarantee that an infinite series converges. However, if , the series must diverge! For example, but diverges.

Power Series

Practice: 7,9,11,19,27,33

Learning Objectives:Given the first 5 terms of an infinite geometric series, 1. Find the general term of the series, (this and the above are different)2. Write the series in sigma notation, identifying the initial term () and the

common ratio ().3. Determine whether the series converges or diverges. Is 4. If the series converges, find