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HP 48g Series Calculators - What 0^0 Evaluates To
According to a textbook in analysis, 0^0 has no answer that is defined. But my HP 48 answers 1, is that correct?
The justification that we use comes from the Notices of the American Mathematical Society, September 1991, volume 38, number 7. The section (pages 778 - 785) is entitled "Computers and Mathematics" while the article is called "Crimes and Misdemeanors in the Computer Algebra Trade." The significant part is on page 781:
"If a system transforms x^0 to 1, then, for consistency between the algebra and arithmetic, the system should also transform 0^0 to 1. Kahan  and Graham, Knuth, and Patashnik  give different persuasive reasons why 0^0 should ordinarily simplify to 1 even in a system that does only arithmetic."
The references are as follows:
 Kahan, W. (1987), "Branch Cuts for Complex Elementary Functions or Much Ado about Nothing's Sign Bit," The State of the Art in Numerical Analysis, editors A. Iserles and M. J. D. Powell, Clarendon Press, Oxford, pp. 165--212
 Graham, R. L., Knuth, D. E., and Patashnik, O. (1989), Concrete Mathematics, Addison-Wesley Publishing Company, p. 162
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