Suppose that f has a removal singularity at a point a. then

1
f(z) is bounded near a.
2
f(z) is unbounded near a but (z - a)nf(z) is bounded near a for some n ∈ ℕ
3
∃ no n ∈ ℕ such that (z - a)f(z) is bounded near a. 
4
None of the above

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