Summer 2013Quiz 6Math 1560S o l u t i o n s1. (a) [5 points] Expandf(z) = coszin a Taylor series aboutz=π4. Write first five terms.
(b) [5 points] Determine the region of convergence of the series found in part (a).
2. [5 points] For the functionf(z) =3(z-1)(z+ 2)find a Laurent series expansion inside1<|z|<2. In your answer it is enough to show six terms from degree-3 to degree 2.