Consider the function \(f(z) = \frac{\sin(z)}{z^3}\) . Which of the following statements about the singularity at z = 0 is correct?
1
The singularity at z = 0 is a removable singularity because the Laurent series contains only non-negative powers of z.
2
The singularity at z = 0 is a simple pole because the Laurent series has a term 1/z
3
The singularity at z = 0 is a pole of order 2 because the Laurent series contains a term 1/z2 but no higher negative powers.
4
The singularity at z = 0 is an essential singularity because the Laurent series contains an infinite number of terms with negative powers.