Is zero times zero an indeterminate form?

In multiplying 0 by infinity, infinity is the multiplier and 0 is the multiplicand. So multiplying zero infinite number of times will give the product zero. Infinite here means indefinitely finite. Therefore, Zero multiplied by infinity is zero, not indeterminate.

Is 0 Infinity an indeterminate form?

Here is a simple illustration of Theorem 1. Indeterminate forms besides “0”0 and “∞”∞ include “0⋅∞, “∞−∞”, “1∞”, “00”, and “∞0”.

Is zero divided by a number indeterminate?

Since no number of people can split the pizza, undefined means no value. But indeterminate is slightly different: there is no meaning to 00 because we have competing approaches on how to solve this problem. We know that 0 divided by any number is 0, but we also know that any number divided by 0 is undefined.

Why is 0^0 considered an indeterminate form?

We call this one of the indeterminate forms, of type 0 0. This is considered an indeterminate form because we cannot determine the exact behavior of f(x) g(x) as x → a without further analysis. We have seen examples of this earlier in the text.

Is zero times zero indeterminate?

Since the answer is ∞∙0 which is also another type of Indeterminate Form, it is not accepted in Mathematics as a final answer. We know that any number multiply by zero is always equal to zero but there’s an exception, which is infinity. Therefore, we cannot say that infinity times zero is zero.

Is 0/infinity inderminate form?

Finally, while limits resulting in zero, infinity, or negative infinity are often indeterminate forms, this is not always true. Infinity, negative or positive, over zero will always result in divergence. As well, one over zero has infinite solutions and is therefore not indeterminate.

Does 0 times Infinite?

In actuality, when any number (including zero) is multiplied with infinity, then the results are always undefined. Therefore, zero times infinity is undefined. So, zero times infinity is an undefined real number. This is the definition of undefined. Therefore, zero times infinity is undefined.