Which is why i would call it indeterminate.
Since a/b=c/d iff a*d=c*b, the expression 0/0=a isn't meaningless, hence I wouldn't call it undefined.
I guess it blows down to what you want undefined to mean, exactly. I get your point about uniqueness. Only I wouldn't call it undefined...
It is a common misperception that 0/0 is undefined. It is merely indeterminate.
Consider that expression:
\frac{0}{0}=a
is equivalent to:
0=a\cdot 0
which is true for any number a (it is not undefined). Hence 0/0 is indeterminate.
Ok, thanks! So the only way of evaluating xiy is by using Euler's formula, which we know to be true? I can see the use of the formula more clearly now.
I just started studying complex numbers. It says complex numbers in polar form can be expressed as a power of e:
e^ix = cosx + isinx
I don't quite understand how this equation works.
How do i evaluate e^ix? And how does taking e to the power of ix get me a complex number a + bi or even...