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    Calculating the residue at pole.

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    Find Res{Sin(z^3)/z^100, z=0}?

    © BrainMass Inc. brainmass.com March 4, 2021, 5:39 pm ad1c9bdddf
    https://brainmass.com/math/functional-analysis/calculating-residue-pole-5006

    Solution Preview

    Since Sin(z^3)/z^3->1 as z->0, z=0 is a pole with order n=97 of function f(z)=Sin(z^3)/z^100. By applying the formula we have
    Res{Sin(z^3)/z^100, z=0}=1/97! ...

    Solution Summary

    The solution shows detailed steps on how to compute the residue at pole of a complex function.

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