Zero to the power of zero instance of indeterminate form
Zero to the power of zero, denoted by 00, is a mathematical expression that is either defined as 1 or left undefined, depending on context.  In algebra and combinatorics, one typically defines  00 = 1.  In mathematical analysis, the expression is sometimes left undefined. Computer programming languages and software also have differing ways of handling this expression.Continuous exponents
Limits involving algebraic operations can often be evaluated by replacing subexpressions by their limits; if the resulting expression does not determine the original limit, the expression is known as an indeterminate form. The expression 00 is an indeterminate form: Given real-valued functions f(t) and g(t) approaching 0 (as t approaches a real number or ±∞) with f(t) > 0, the limit of f(t)g(t) can be any non-negative real number or +∞, or it can diverge, depending on f and g. For example, each limit below involves a function f(t)g(t) with f(t), g(t) → 0 as t → 0+ (a one-sided limit), but their values are different:
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