(New page: = Power Series Formulas = {| |- ! colspan="2" style="background: #bbb; font-size: 110%;" | Power Series Formulas |- ! colspan="2" style="background: #eee;" | Geometric Series |- | align...) |
(No difference)
|
Revision as of 07:04, 29 October 2009
Power Series Formulas
| Power Series Formulas | |
|---|---|
| Geometric Series | |
| Finite Geometric Series Formula | $ \sum_{k=0}^n x^k = \left\{ \begin{array}{ll} \frac{1-x^{n+1}}{1-x}&, \text{ if } x\neq 1\\ n+1 &, \text{ else}\end{array}\right. $ |
| Infinite Geometric Series Formula | $ \sum_{k=0}^n x^k = \left\{ \begin{array}{ll} \frac{1}{1-x}&, \text{ if } |x|\leq 1\\ \text{diverges} &, \text{ else }\end{array}\right. $ |
| Other Series | |
| notes/name | equation |
