Show that can be used as the complex potential for an array of equally spaced, parallel, charged lines in the y = 0 plane. Let n be an integer and let x = na and x = (n + 1/2 )a be the positions of the positive and negatively charged lines, respectively. Find the asymptotic behavior (|y| → ∞) of the physical potential.

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f(z) = λ Σπερ In tan π α