Past exam of the short options paper shared by Parts A and B of the physics course of the University of Oxford / 2019 / S1 / 2 / b

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- Solution b

Solution

Expanding the exponential function produces the Laurent series

f (z) = k = 0 \sum \infty \frac{n ^{k}}{k !} z^{n - k}, 0 < ∣ z ∣ < \infty.

In particular its residue is

a_{- 1} = n^{n + 1} / (n + 1)!

.

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