I was doing random analysis stuff when I came up to
a ∈ (extended) R, a != 0 --> a^inf=0
Does anyone know what is this identity (if it's true) is called?
[math]1 \,\in\, \overbar{\mathbf R}[/math], [math]1 \,\neq\, 0[/math] and [math]\lim_{n \,\to\, \infty} 1^n \,=\, 1[/math].
>>9068972
But
a=1 goes to 1
a<=-1 has no limit
-1<a<1 goes to 0
a>1 goes to inf