Determine the infinite number in any neighborhood


The interesting theorem, called as Picard's theorem, defines taht in any arbitrarily small neighborhood of the isolated necessary singulatiry z0, an analytic function f supposes every finite complex value, with one exception, an infinite number of times. As z=0 is the isolated singularity of f(z)=e^(1/z), determine the infinite number of z in any neighborhood of z=0 for which f(z)=i. Determine the one exception? Compute one value that f(z)=e^(1/z) doesn't take on?"

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Mathematics: Determine the infinite number in any neighborhood
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