- #1
samieee
- 67
- 0
What will happen if we multiply infinity with zero? how to describe this situation?
It depends on the number system, of course.samieee said:What will happen if we multiply infinity with zero? how to describe this situation?
Hurkyl said:"How much does blue weigh?"
CompuChip said:About 4.5 x 10-36 kg (taking 475 nm for the wavelength).
KnowPhysics said:when you say zero it means nothing (does not exist). if you multiply how many ever times of some thing which is not existing, it will be still nothing (zero).
KnowPhysics said:when you say zero it means nothing (does not exist). if you multiply how many ever times of some thing which is not existing, it will be still nothing (zero).
arildno said:Mmm..nope.
Consider the following example:
x*(1/x)=1, irrespective of the (non-zero) value of x.
As you let "x" go to infinity, the first factor goes to infinity, whereas the second to 0.
Yet the product equals 1, nonetheless..
Huh? What does this have to do with anything?KnowPhysics said:when you say zero it means nothing (does not exist). if you multiply how many ever times of some thing which is not existing, it will be still nothing (zero).
Infinity is a red herring. It is a fact that zero is a null value for the operation of multiplication of real numbers. If you are interested in a different multiplication operation -- e.g. the multiplication of extended real numbers -- then anything could happen.KnowPhysics said:yes, Math is not my Domain. so you are saying zero is not a null value.
Because it's useful.KnowPhysics said:Still i am not clear why they use infinite if it doesn't make sense.
Not necessarily, at least in the context of indeterminate forms, which were mentioned elsewhere in this thread.KnowPhysics said:Still i am not clear why they use infinite if it doesn't make sense. like if you divide still it is infinite. if you subtract still it is infinite.
KnowPhysics said:Any way Thank you for explaining. i will also study little bit on this for my curiosity to understand it.
No, it is mathematically undefined and therefore not possible to multiply infinity by zero.
The result is undefined and cannot be determined.
No, any number multiplied by infinity will result in undefined or infinite value.
No, the result will either be undefined or infinite.
This is because infinity represents a concept of unboundedness and zero represents a concept of nothingness, and these two concepts cannot be multiplied together as their definitions contradict each other.