Can you divide by infinity?

Question

Can you divide by infinity?

Answer 1

Yes.  Any constant number (no matter how big) when divided by infinity is zero.

To show this, pick a number, no matter how big (but be reasonable, since your calculator can only handle so many digits).  How about letting x=7.

Now divide 7 by 1, then 10, then 100, then 1000, etc.  You will notice that the result is 7, 0.7, 0.07, 0.007, etc.  This gets closer and closer to zero as the number you are dividing by gets bigger.

Infinity is a huge number.  The fastest printer in the world could start printing out the digits of infinity on your date of birth, and by the time you died, it would be nowhere near close to completely writing out the full number.  There is no end to infinity.  A billion digits is not even close.

Answer 2

Of course. The result of division by invinity is ε, a number arbitrarily close to zero.

Answer 3

Division of a number by infinity is somewhat intuitive, but there are a couple of subtleties that you need to be aware of.  When we talk about division by infinity we are really talking about a limiting process in which the denominator is going towards infinity.  So, a number that isn’t too large divided an increasingly large number is an increasingly small number.  In other words in the limit we have,

a/oo = 0  or,  a/ -oo = 0

Answer 4

yes, i can but the answer comes out zero.

Answer 5

I think so, but the number you get is pretty much 0.