well, i think it doesn't work like that, since every number divided by zero is infinite, then infinity multipled by zero should be undefinited, just like zero divided by zero, cause it has so many answers, sorry for my bad english

In chapter limits 0 \times ∞ is an indeterminate quantity......i.e. the value cannot be determined.if we'll try to check lets consider a number is very very small infact tending to '0', when is multiplied with an infinite quantity can give a meaningless number since we do not know the exact vale of '∞ ' .

And whenever we multiply 0 with a finite quantity then the answer is zero,not when we multiply it with ∞

any number if it is brought to the form '0/0' or ;Infinity/Infinity' is indeterminate. so 0xInfinity =0/0 (since' Infinity =1/0') is also indeterminate(dosn't exist.

You can't simply convert x/0 = inf into x = 0 * inf :

When you turn a/b = c into a = b * c you're actually multiplying both sides by b . See what happens if you attempt to do so when b = 0 :

a/0 = c <=> 0 * a/0 = 0 * c <=> a * 0/0 = 0 * c

Given that 0/0 is undefined, you can't get from a * 0/0 = 0 * c to a = 0 * c , as that would be assuming 0/0 = 1 .
Here's what happens in your situation:

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestActually, in mathematics the division by zero is meaningless.

Log in to reply

0*infinity is one of the indeterminate forms in mathematics

Log in to reply

infinity is undetermined quantity

Log in to reply

well, i think it doesn't work like that, since every number divided by zero is infinite, then infinity multipled by zero should be undefinited, just like zero divided by zero, cause it has so many answers, sorry for my bad english

Log in to reply

Why doesn't it work like that? Infinity is some number right, so zero multiplied by anything is zero right?

Log in to reply

infinity is not a number

Log in to reply

Yes,infinity is a concept not a defined number..Assuming it is will lead to specious results like the one above.

Log in to reply

infinity is not a number! because it's value is not fixed ..it's value is not defined

Log in to reply

In chapter limits 0 \times ∞ is an indeterminate quantity......i.e. the value cannot be determined.if we'll try to check lets consider a number is very very small infact tending to '0', when is multiplied with an infinite quantity can give a meaningless number since we do not know the exact vale of '∞ ' .

And whenever we multiply 0 with a finite quantity then the answer is zero,not when we multiply it with ∞

Log in to reply

any number if it is brought to the form '0/0' or ;Infinity/Infinity' is indeterminate. so 0xInfinity =0/0 (since' Infinity =1/0') is also indeterminate(dosn't exist.

Log in to reply

You can't simply convert x/0 = inf into x = 0 * inf :

When you turn a/b = c into a = b * c you're actually multiplying both sides by b . See what happens if you attempt to do so when b = 0 :

a/0 = c <=> 0 * a/0 = 0 * c <=> a * 0/0 = 0 * c

Given that 0/0 is undefined, you can't get from a * 0/0 = 0 * c to a = 0 * c , as that would be assuming 0/0 = 1 . Here's what happens in your situation:

x/0 = inf <=> 0 * x/0 = 0 * inf <=> x * 0/0 = 0 * inf

x * 0/0 , or simply 0/0 , is undefined, and so is 0 * inf , so nothing can be done here.

Log in to reply

which equals to 0/0 it's indeterminate form mean does'nt exist

Log in to reply