Having trouble solving this contour integral. Evaluate the integral e^5z/z^5 where c is the circle |z|=1 traversed in clockwise direction? Any suggestions where to start?
Having trouble solving this contour integral. Evaluate the integral e^5z/z^5 where c is the circle |z|=1 traversed in clockwise direction? Any suggestions where to start?
Note that is a pole of order 5. We can apply the residue theorem to this by noting that
Thus,
Since we're moving clockwise, it follows that the result will be negative.