When calculus books state that 00 is an indeterminate khung, they mean that there are functions f(x) & g(x) such that f(x) approaches 0 và g(x) approaches 0 as x approaches 0, & that one must evaluate the limit of 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!

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 và g(x) approaches 0 as x approaches 0, and that one must evaluate the limit of 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 lớn what many texts say. In fact, 00 = 1!

Pick up a high school mathematics textbook today và you will see that 00 is treated as an indeterminate form. For example, the following is taken from a current New York Regents text <6>:

We ređiện thoại tư vấn the rule for dividing powers with like bases:

 xa/xb = xa-b (x not equal to lớn 0) (1)

Therefore, in order for x0 to be meaningful, we must make the following definition:

 x0 = 1 (x not equal to lớn 0) (4)

Since the definition x0 = 1 is based upon division, & division by 0 is not possible, we have sầu stated that x is not equal to 0. Actually, the expression 00 (0 khổng lồ the zero power) is one of several indeterminate expressions in mathematics. It is not possible lớn assign a value to lớn an indeterminate expression.