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:

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.

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 ∞

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

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## Comments

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TopNewestActually, in mathematics the division by zero is meaningless.

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0*infinity is one of the indeterminate forms in mathematics

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infinity is undetermined quantity

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

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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.

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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.

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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 ∞

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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

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

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

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

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infinity is not a number

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