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Mathematical Object

Zero to the power of zero

Analysis

Zero to the power of zero is a mathematical expression whose value depends on the context in which it appears. In fields such as combinatorics and algebra it is conventionally defined to equal one, because this choice keeps many formulas consistent, for instance aligning with the interpretation of choosing zero elements from a set and simplifying polynomial and binomial expansions. In mathematical analysis, by contrast, it is often treated as an indeterminate form, since the limiting value of x raised to the y power as both x and y approach zero can differ depending on how the limit is taken. Computer programming languages and software also differ in how they handle it, with many following the convention that it equals one while others leave it undefined or return an error. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Number 1
Sources
1. Zero to the Power of Zero (Wikipedia)
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