Interactive Real Analysis
- part of 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
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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)