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Calculating the residue at pole.

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

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
<br><br>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.