Question

if z=a is pole of f(x) ,then lim ₓ→ₐ f(z)​

Answer 1

Answer:

f(z) = sin(1/z), z = 0 has the Laurent expansion f(z − z0)=1/z − 1/z33! + 1/z55! − .... It has an isolated essential singularity at z0 = 0.