Paper 2, Section II, A
(a) Let be a complex function. Define the Laurent series of about , and give suitable formulae in terms of integrals for calculating the coefficients of the series.
(b) Calculate, by any means, the first 3 terms in the Laurent series about for
Indicate the range of values of for which your series is valid.
(c) Let
Classify the singularities of for .
(d) By considering
where for some suitably chosen , show that
Typos? Please submit corrections to this page on GitHub.