If you add together an infinite number of infinitely small numbers?

[JustAnAverageGuy]

x * infinity = infinity
~0 = x
Solve for infinity

 

[Velk]

Infinite sets are sort of weird, it's only in very specific circumstances you can calculate anything using them. Consider that :

Every number is made up of an infinite number of fractions. For example the sum of the fractions of 3 as it approaches infinity is 3. This doesn't help much though as it's also true of every other number.

There is an infinite number of integers that are less than 3, there's also an infinite number of integers that are less than 10. There's an infinite number of integers, but there's also an infinite number of odd integers, as well as infinite number of integers that are evenly divisible by 10. In general, knowing any of those things is entirely unhelpful.

 

[MrDudeMan]

so far the only right answer is posted by So

 

[Compton]

Originally posted by: mephiston5
If you add together an infinite number of infinitely small numbers (being greater then 0 but just barely) what size number would you get?

Just wondering what everyone thought around here, I am thinking it would more or less = 0 if you round it to the nearest whole number.

I am asking because one of my finance classes had a lecture on the "correct" way to value stocks, stating that the value of a stock is = to the value of the infinite stream of said stock?s future dividends, discounted back into today?s dollars.

Go try to add them up. In the end you'll just get a headache.