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    Why Are the Singular Points z=1/n Isolated in the Function f(z)=1/(sin(pi/z))?

    This one is pretty involved so mad props to whoever can help me figure it out. I've been thinking about this for more than an hour and it's bugging me. Consider the function f(z) = 1/(sin(pi/z)). It has singular points at z=0 and z=1/n (where n is an integer). However, my book says each...
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