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Why infinity plus infinity is not an indeterminate form?
This is because you don’t know what kind of infinite numbers you’re subtracting. One infinity could be “one larger” than the other. One could be infinitely larger than the other. You don’t know the difference between the two, so you can’t subtract them.
Why is infinity minus infinity undefined?
Originally Answered: Why is infinity minus infinity indeterminate? There is a mathematical law that says that x minus x is always 0. The definition of subtraction is that if and only if there is a unique (in the set from which , and are drawn) such that . Thus in the natural numbers is undefined if .
What is negative infinity plus negative infinity?
So the answer to “what is infinity minus infinity plus infinity?” is that it is undefined. Cardinal numbers are used to describe how much of something there is.
What is infinity plus infinity equal?
So, if you add anything to infinity, no one would notice, because it’s already HUGE. (you have to add the Emphasis) It can’t get any bigger because it’s already the biggest so, infinity plus infinity is still infinity.
Is infinity plus infinity infinity?
What is infinity plus one minus infinity?
There’s generally no answer. In the typical number systems, there is no such thing as infinity. In the extended real or complex numbers, infinity minus infinity is undefined (or indeterminate, if you prefer that way of thinking about it).
What is the indeterminate form of X in Infinity?
In the first limit if we plugged in x = 4 x = 4 we would get 0/0 and in the second limit if we “plugged” in infinity we would get ∞/−∞ ∞ / − ∞ (recall that as x x goes to infinity a polynomial will behave in the same fashion that its largest power behaves). Both of these are called indeterminate forms.
What is the indeterminate form of x = 4x = 4?
In the first limit if we plugged in x = 4 x = 4 we would get 0/0 and in the second limit if we “plugged” in infinity we would get ∞/−∞ ∞ / − ∞ ( recall that as x x goes to infinity a polynomial will behave in the same fashion that its largest power behaves). Both of these are called indeterminate forms.
What is the problem with indeterminate forms?
This is the problem with indeterminate forms. It’s just not clear what is happening in the limit. There are other types of indeterminate forms as well. Some other types are, These all have competing interests or rules that tell us what should happen and it’s just not clear which, if any, of the interests or rules will win out.
Is 0/0 a determinate form or indeterminate form?
Both of these are called indeterminate forms. In both of these cases there are competing interests or rules and it’s not clear which will win out. In the case of 0/0 we typically think of a fraction that has a numerator of zero as being zero.