Wait what? (1+2+3+4+...

[Froge]

The epsilon delta definition of a limit states that lim 1/n as n-->+∞ is as arbitrarily close to zero as n is close to positive infinity. Nowhere did we state that we are actually dividing by infinity, or that division by infinity results in zero. Both are mathematically impossible.


All a limit states is that a number is so arbitrarily close to a value that given any number, the limit is closer to the value than that number.