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Wolfram's MathWorld seems dead-set on broadcasting a lie about 0^0. It is, in fact, defined to be 1. If it were undefined, then the Maclaurin series for e^x,
by xamuel 12y ago
Wolfram's MathWorld seems dead-set on broadcasting a lie about 0^0. It is, in fact, defined to be 1. If it were undefined, then the Maclaurin series for e^x, e^x=sum_{n=0}^{infty}x^n/n!, would be undefined at x=0, but this series is universally understood to be defined for all real x.
- paulus99 12y agoI think Knuth cleaned up the definition of 0^0, and showed that it should be 1 for consistency with a whole lot of other series' and function definitions
- paulus99 12y agosee this Quora article http://www.quora.com/What-is-0-0-the-zeroth-power-of-zero http://www.quora.com/What-is-0-0-the-zeroth-power-of-zero