
10.2.8 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. \[ f(z)=\frac{1}{z(1+z)} \cos \frac{1}{z} \]
Finding singular points of functions, determining their type and calculating residues in them.