Consider the series
We notice that if and if , thus .
However the series has a radius of convergence.
But if I'm not wrong, the radius of convergence is defined as . So how can exist when does not exist?
Consider the series
We notice that if and if , thus .
However the series has a radius of convergence.
But if I'm not wrong, the radius of convergence is defined as . So how can exist when does not exist?