$a$ is a non isolated singularity of $f (z)$

Question

If a point $a$ is a non-isolated singularity of a function $f(z)$ and $|f(z)|$ is bounded in some neighbourhood of $a$ then what kind of singularity of $f(z)$ occurs at $a$?

1. Removable singularity
2. Essential singularity
3. Non removable
4. Non essential

Thank for answer in advance. ..