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(Solved): Answer Question 5 please 5. If \( n \) is a natural number and \[ \int_{|z|=1} \frac{\cos (z)}{z^{n ...



Answer Question 5 please5. If \( n \) is a natural number and
\[
\int_{|z|=1} \frac{\cos (z)}{z^{n}} d z=0,
\]
then what can you deduce about the num

5. If \( n \) is a natural number and \[ \int_{|z|=1} \frac{\cos (z)}{z^{n}} d z=0, \] then what can you deduce about the number \( n \) ? 6. Compute \[ \int_{C_{R}} \frac{\log (z)}{z^{2}} d z \] where \( C_{R} \) is a circle of radius \( R \) centered at the origin with positive orientation (counterclockwise). Why can you not use Cauchy's formula to compute this integral?


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