Question
In each of Problems 1 through 12, determine all singularities of the function and classify each singularity as removable, a pole of a certain order, or an essential singularity.$\frac{z}{z^4-1}$
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The given function is $f(z) = \frac{z}{z^4-1}$ Show more…
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4. Find the isolated singularities of the following functions, and determine whether they are removable, essential, or poles. Also find the order of any poles. (a) f(z) = cos(z) / (z^2 - R^2) (b) f(z) = (z - 1) / (z^2 + 1) (c) f(z) = z^3 - 1 / (z - 1) (d) f(z) = z^2 + Mp sin(z)
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