What does it mean when equation is undefined?

What does it mean when equation is undefined?

We learned that a numerical expression is undefined when there is no answer or when you get division by zero. We might get division by zero for those numerical expressions with variables and a denominator. To find the points where the numerical expression is undefined, we set the denominator equal to zero and solve.

Does undefined mean 0 or infinity?

The value of infinity is also undefined. What is the difference between Infinity and Undefined? Undefined means, it is impossible to solve. Infinity means, it is without bound.

What happens when a limit is 0 0?

Typically, zero in the denominator means it’s undefined. When simply evaluating an equation 0/0 is undefined. However, in taking the limit, if we get 0/0 we can get a variety of answers and the only way to know which on is correct is to actually compute the limit.

Is undefined the same as no solution?

No. No real solution just means that no solution is available in the set of reals; but in the set of complex numbers, solutions exist. Undefined means there are no solutions possible for the operations in view. Operations on certain numbers are “undefined” because a value doesn’t exist for it.

Is undefined non real?

No. Undefined means that no practical meaning can be assigned. Not a Real number are those numbers that are not along the Real number line; that is any number with direction positive (right) or negative (left) and zero.

Why does 0^0 evaluate to 1 when x^2 is undefined?

For several reasons, the expression 0^0 is generally understood to evaluate to 1, even though (in limits) this is an indeterminate form, because as x -> 0, 0^ (x^2) -> 0 and x^0 -> 1. Of course, a function with a “removable discontinuity” is undefined at the point in question even if the limit does not have an indeterminate form.

Is 1/0 indeterminate or undefined?

Here is what we mean by “indeterminate.”. The value of 1/0 is called “undefined” because there is NO number x that satisfies the equation 1/0 = x, or equivalently, 0*x = 1. In contrast, EVERY number x satisfies the equation 0/0 = x, or equivalently, 0*x = 0.

Why is the limit of an undefined function 0/0?

So although the function itself is undefined there, and the form of the limit is 0/0 (indeterminate), the limit is not undefined. But if you are taking a limit at a finite point (not a limit at infinity), then you can relate evaluating the limit as x -> c to evaluating the function at c.

Why is the division by zero undefined?

Morten Fonager has already given a great answer. There are also some practical reasons why division by zero is undefined. Stuff like this happens: Obviously two does not equal one. Tha false step is the fifth step. When you factor out a-b you are dividing by zero.