Find the Laurent series for the function ƒ that converges in the region |2| > 0. (;+1)- f(2) = 2³ cos Using your answer in (a), or otherwise, now calculate * cos dz where C is the curve |2| = 2 traced counterclockwise.

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Chapter2: Second-order Linear Odes
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(a) Find the Laurent series for the function f that converges in the region |2| > 0.
f(2) = 2* cos (1+
(b) Using your answer in (a), or otherwise, now calculate
cos
+1
dz
where C is the curve |z| = 2 traced counterclockwise.
Transcribed Image Text:(a) Find the Laurent series for the function f that converges in the region |2| > 0. f(2) = 2* cos (1+ (b) Using your answer in (a), or otherwise, now calculate cos +1 dz where C is the curve |z| = 2 traced counterclockwise.
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