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Hilbert, David (1862-1943)

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

In N. Rose Mathematical Maxims and Minims, Raleigh NC: Rome Press Inc., 1988.

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Loci: Convergence

What is 0^0?

by Michael Huber and V. Frederick Rickey

Introduction

When calculus books state that 00 is an indeterminate form, they mean that there are functions f(x) and g(x) such that f(x) approaches 0 and g(x) approaches 0 as x approaches 0, and that one must evaluate the limit of [f(x)]g(x) as x approaches 0. But what if 0 is just a number? Then, we argue, the value is perfectly well-defined, contrary to what many texts say. In fact, 00 = 1!

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