My notes state the Lemma as shown above. I believe one of the underlying conditions is that the arc we integrate over must be +ve oriented (anti-clockwise) in the Upper and Lower half of the Complex Plane. However my notes doesn't mention whether or not the result holds when we integrate over a -ve oriented arc.
My question is, does it hold for clockwise contours? If so (or not), why not?
Assistance is greatly appreciated!
2. Homework Equations
The Attempt at a Solution
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