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So the length of the contour is L(gamma) = 2.pi

and so i have http://images.planetmath.org:8080/cache/objects/7138/js/img1.png

so i need to show max f(z) = e?

So the maximum of f(z)= e

^{1/z2}in the unit circle centre 0, radius 1 implies that 1/z

^{2}should be maximum, and this is when z

^{2}is its lowest possible value.

When this happens f(z) cannot equal e unless the lowest possible value of z is 1, but isn't that the highest possible value?

Any help would be great thanks

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