(New page: Infinite Geometric Series: <math>\sum_{k=0}^\infty x^k = \frac{1}{1-x} </math> provided that <math> |x|<1 </math> (else it diverges).) |
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| − | Infinite Geometric Series: <math>\sum_{k=0}^ | + | Infinite Geometric Series: <math>\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. </math> |
Revision as of 07:56, 1 October 2008
Infinite Geometric Series: $ \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. $
