Solution
= Solution
A <pole> of order $m\geq1$ means that $(z-a)^mf(z)$ extends holomorphically to $a$ and has a nonzero value there. Equivalently, the lowest nonzero power in the <Laurent expansion> is $(z-a)^{-m}$.
= Solution
A <pole> of order $m\geq1$ means that $(z-a)^mf(z)$ extends holomorphically to $a$ and has a nonzero value there. Equivalently, the lowest nonzero power in the <Laurent expansion> is $(z-a)^{-m}$.