In general, how do I recognize that a simple pole exists and find it, given some $\Large f(z)$? I want to do this without finding the Laurent series first.
And specifically, for the following function:
$\Large f(z) = \frac{z^2}{z^4+16}$
In general, how do I recognize that a simple pole exists and find it, given some $\Large f(z)$? I want to do this without finding the Laurent series first.
And specifically, for the following function:
$\Large f(z) = \frac{z^2}{z^4+16}$