Why is 1 raised to infinity Not defined and not 1 [duplicate] Closed 13 years ago $1$ square is $1$, so is raised $1$ to $123434234$ My maths teacher claims that $1$ raised to infinity is not $1$, but not defined Is there any reason for this? I know that any number raised to infinity is not defined, but shouldn't $1$ be an exception?
Why is $1 i$ equal to $-i$? - Mathematics Stack Exchange There are multiple ways of writing out a given complex number, or a number in general Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot cleaner than saying $1-1$ for example The complex numbers are a field This means that every non-$0$ element has a multiplicative inverse, and that inverse is unique While $1 i = i^ {-1}$ is true (pretty much by definition