4.3. Special Series
This is a brief listing of some of the most important series. Each of the convergence tests given in the previous section contains even more examples.
- Geometric Series
- converges absolutely for |a| < 1 to 1 / 1-a, diverges otherwise
- p Series
- converges for p > 1, diverges otherwise
- Harmonic Series
- diverges
- Alternating Harmonic Series
- converges conditionally
- Euler's Series
- converges to e (Euler's number)