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What is the value of zero times infinity?
Zero times infinity is defined as "indeterminate".
Why is zero raised to zero an indeterminate form?
Because it does
What is infinity times infinity minus infinity?
Firstly, infinity is not a number (at least in lower level mathematics). You must instead use the language of limits to describe infinity. Using limits, a function which diverges to infinity multiplied by a function which diverges to infinity has a product which also diverges to infinity. However, taking this product, and subtracting away a function which diverges to infinity is "of indeterminate form". It might converge to zero, it might be diverge to positive infinity, it might diverge to negative infinity, or it might converge to a constant. In order to figure out which one of these possibilities applies, you must get the indeterminate form into the form infinity divided by infinity or 0/0 and then apply L'Hospital's rule. Edit: Just a pet peeve of mine. It's L'Hôpital, not L'Hospital. Even textbooks don't spell it right.
If division by zero is not defined then why do you consider inverse of zero as infinity in calculus?
Division by zero is not "not defined". Division is the repeated subtraction of one thing from another, counting the number of times you subtract. If you divide 15 by 3 you get 5. You can also subtract 3 from 15 5 times. If you subtract zero from something, that something does not change, so you could say that anything divided by zero is infinity. (End of answer to question asked, but....) By definition, a positive number divided by zero is positive infinity, and a negative number divided by zero is negative infinity. Also, what "is" not defined is zero divided by zero. We call that indeterminate. However, its not quite that simple. For example, 2x / x when x = 0 is indeterminate, but the limit of 2x / x as x approaches zero is very determinant: it is 2
Why is it not possible to divide by zero?
Their is no # that can be multiplied into 0 other than its self, therfore it is no defined value and is called an indeterminate form.
What is the value of zero times infinity?
Zero times infinity is defined as "indeterminate".
Why is zero raised to zero an indeterminate form?
Because it does
Can you use L'hopital's rule for functions?
Yes. The rule is used to find the limit of functions which are an indeterminate form; that is, the limit would involve either 0/0, infinity/infinity, 0 x infinity, 1 to the power of infinity, zero or infinity to the power of zero, or infinity minus infinity. So while it is not used on all functions, it is used for many.
What is the limit of infinity over zero?
infinity? Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.
What is infinity times infinity minus infinity?
Firstly, infinity is not a number (at least in lower level mathematics). You must instead use the language of limits to describe infinity. Using limits, a function which diverges to infinity multiplied by a function which diverges to infinity has a product which also diverges to infinity. However, taking this product, and subtracting away a function which diverges to infinity is "of indeterminate form". It might converge to zero, it might be diverge to positive infinity, it might diverge to negative infinity, or it might converge to a constant. In order to figure out which one of these possibilities applies, you must get the indeterminate form into the form infinity divided by infinity or 0/0 and then apply L'Hospital's rule. Edit: Just a pet peeve of mine. It's L'Hôpital, not L'Hospital. Even textbooks don't spell it right.
What is zero to the fifth power over zero to the fifth power?
Zero to the fifth power is zero. Zero divided by zero is indeterminate.
If division by zero is not defined then why do you consider inverse of zero as infinity in calculus?
Division by zero is not "not defined". Division is the repeated subtraction of one thing from another, counting the number of times you subtract. If you divide 15 by 3 you get 5. You can also subtract 3 from 15 5 times. If you subtract zero from something, that something does not change, so you could say that anything divided by zero is infinity. (End of answer to question asked, but....) By definition, a positive number divided by zero is positive infinity, and a negative number divided by zero is negative infinity. Also, what "is" not defined is zero divided by zero. We call that indeterminate. However, its not quite that simple. For example, 2x / x when x = 0 is indeterminate, but the limit of 2x / x as x approaches zero is very determinant: it is 2
What is zero times infinity?
In mathematics, the expression "zero times infinity" is considered an indeterminate form, meaning it does not have a definitive value. This is because the product of zero and any finite number is zero, but the product of zero and an infinitely large number could potentially approach a non-zero value. In different contexts and mathematical systems, the result of zero times infinity may vary or be undefined.
How much is x over infinity?
X over infinity does not exist but you can predict what it would be as you approach infinity, the limit, so to speak. It should be zero, if it does approach a number.
Why is it not possible to divide by zero?
Their is no # that can be multiplied into 0 other than its self, therfore it is no defined value and is called an indeterminate form.
Is infinity zero?
Infinity cannot, by definition, be a defined number such as zero.
When was Zero to Infinity created?
Zero to Infinity was created in 1999-09.
