0
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.
You cannt multiply by infinity in ordinary mathematics, because it is an undefined value.
However, for any other value, the result is zero. The intersection of a null (empty) set with other sets cannot exist, and in mathematics any value a x 0 = 0.
e.g. Zero times anything (even negative values) is always zero.
Infinity is undefined as a number, thus the definition of infinite.
However, as a concept, of an undefinable number, infinity is infinite, unending.
Infinity is not rational and keeps going on forever, therefore infinity cannot be multiplied by zero.
Multiplying infinity by other rational numbers is impossible in ordinary math, because the result cannot exceed infinity.
Add your answer:
Earn +20 pts
What is the result of dividing a number by zero?
You can not divide by zero - it is not defined. Presumably you get infinity, but there are different types of infinity.
What is zero raised to the power of infinity?
It remains as zero
What is the number after infinity?
Infinity is as big as you can get, so there is no number after it.There is also a "negative infinity" going the other way, so the total number of integers could be considered as two infinity (2 x ∞), or two ∞ plus 1 if you include zero. But usually infinity is defined to include the entire set of integers.* * * * *Except that infinity plus infinity, or even infinity times infinity is still infinity. However, infinity to the power of infinity is a higher level of infinity (Aleph1 rather than Aleph0). And if that does not do your head in, there is a lot more to the mathematics of infinities.
What fraction comes after zero on the numberline?
1/infinity
How many zero in the infinity?
If you tried to write out infinity, it would take an infinite amount of zeros. Seriously, infinity is unimaginably big, and then some - that's the point. It is absurdly huge. You think the national debt is big, but that's just peanuts compared to infinity.
What is the value of zero times infinity?
Zero times infinity is defined as "indeterminate".
Why is zero times infinity undefined?
Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.
Can zero go into zero zero times or one time?
0 / 0 = infinity
Does a negative infinity times any number equals zero?
0 is the only number times infinity equal to 0
What is infinity to the power of zero?
No matter how many times you multiply zero by itself, you will always get zero.
What is infinity times 0?
I think it is zero because ANYTHING times 0 equals 0
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.
What does infinity times infinity equal?
infinity2 Well, your question does not specify whether the infinities are "countable" infinities (such as the number of integers) or "uncountable" infinities (such as the number of real numbers). If both multiplicands are countable infinities, the product is also countable infinity. If either multiplicand is uncountable, the product is uncountable infinity. Countable infinity is known as "Aleph null", and uncountable infinity as "Aleph one". Infinity times zero may possibly be equivalent to zero though ------------------------------------------------------------------------------------------- ∞ x ∞ = ∞ infinity times infinity equals to infinity Infinity is already the highest number. Technically speaking, there is no highest number. So infinity infinity's is infinity cause infinity is never ending.
What is infinity into zero?
Infinity into zero = Log 2 = 0.692 by L'hospital Rule
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 zero minus infinity?
minus infinity
