Discussion
Match the singularity with its Laurent expansion. 1. Removable 2. Pole of order m 3. Essential P. Negative powers down to the m-th Q. No negative powers R. Infinitely many negative powers
Answer: C
A removable singularity is one the expansion does not notice, having no negative powers, so a value can simply be assigned. A pole of order \( m \) is bounded below at \( (z-z_{0})^{-m} \). An essential singularity has no such floor, which is why the function has no limit there in any direction
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