Evaluating Zero to the Power of Zero

Published on November 7, 2024

The expression 0^0 is considered an indeterminate form in calculus because different approaches to evaluating it yield different potential values. While some approaches suggest a value of 1 and others suggest 0, the limit does not have a single, well-defined value. In some contexts, like combinatorics, it is defined as 1 for convenience.

Question

\( 0^{0}=? \)

Answer