10.2.i Singular points and residues
Condition: Find all singular points of a given function, determine their nature and find residues in them. Determine what the point at infinity is for a given function and find residues in it. \[ f(z)=\frac{1}{(1-z)^{2}} \cdot e^{\frac{1}{z}} \]
Finding singular points of functions, determining their type and calculating residues in them.