What is the limit of infinity divided by 0?
What is the limit of infinity divided by 0?
Working with infinity/0 is a delicate matter. First of all the operation of division of s by t to yield s/t is only valid if s and t are numbers, and t is not zero. Thus infinity/0 is a problem both because infinity is not a number and because division by zero is not allowed.
Is zero infinity indeterminate?
Originally Answered: Is Infinity/0 an indeterminate form? Yes. Infinity is undefined or indeterminate. x/0 is undefined or indeterminate.
Is infinity divided by infinity indeterminate?
Now, it is easy to think that any number divided by itself equals one, which is true. BUT in Mathematics infinity divided by infinity is actually undefined.
Is infinity infinity indeterminate?
But Infinity — Infinity is an indeterminate quantity. If you add any two humongous numbers the sum will be an even larger number. If you add infinity (an impossibly large number) plus another impossible large number the result is still an impossibly large number (infinity). Though infinity – infinity IS indeterminable.
Is infinity divided by infinity 1 or 0?
Your comment on this answer: It’s 1 because any number divided by itself is one.
What happens when you divide by infinity?
Any number divided by infinity is equal to 0.
Is dividing zero by Infinity indeterminate or determinate?
If this is what you mean by “dividing zero by infinity” then it is not indeterminate, it is zero.
What is the limit of P(x) if the quotient is zero?
If f ( x) approaches 0 from above, then the limit of p ( x) f ( x) is infinity. If f ( x) approaches 0 from below, then the limit of p ( x) f ( x) is negative infinity. If f ( x) keeps switching signs as it approaches zero, then the limit of the quotient fails to exist. There’s no “tug-of-war” here, like you have with indeterminate forms.
What is something divided by 0 equal to infinity?
Well, something divided by 0 is infinity is the only case when we use limit. Infinity is not a number, it’s the length of a number.
Is there an indeterminate form of ∞ 0?
I know that indeterminate forms exist in limits, such as 0 0, ∞ ∞, 0 0, ∞ 0, 1 ∞. Then, if lim x → a p ( x) = ∞ and lim x → a f ( x) = 0, can we call lim x → a p ( x) f ( x) an indeterminate form of type ∞ 0? Or does it not exist since it has 0 for the denominator? This is not an indeterminate form, because it’s clear what happens.
