Let and be a Series with Positive terms and suppose , , ....

- 1. If the bigger series Converges, then the smaller series also Converges.
- 2. If the smaller series Diverges, then the bigger series also Diverges.

**References**

Arfken, G. *Mathematical Methods for Physicists, 3rd ed.* Orlando, FL: Academic Press, pp. 280-281, 1985.

© 1996-9

1999-05-26