2022-01-17
nick1337
Expert2022-01-17Added 777 answers
Step 1
As another approach to Jan van Delden’s solution, we can use the Generalized Cauchy Integral Formula. Since
star233
Skilled2022-01-17Added 403 answers
Step 1
The Laurent series of f(z), valid for
The residue at z=0 is the coefficient belonging to the term z-1; we thus need to pick k=4 and find:
and
since z=0 is the single singular point inside the given countour.
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