10.2.7 Singular points and residues
condition: Find all singular points of the given function. Determine their nature and find deductions in them. Determine what the infinity point is for a given function and find the residues in it. \[ F(z)=\sin \frac{\left(\frac{1}{z}\right)}{(1-z)} . \]
Finding singular points of functions, determining their type and calculating residues in them.