Question
Find the constant c such that can be extended to be analytic at
, when
is fixed.
Answer :
Word Count : 67
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Let (P(z)=z^{n}+z^{n-1}+\cdots+z-n=\sum_{k=1}^{n}z^{k}-n). Then (f(z)=\dfrac{1}{P(z)}+\dfrac{c}{z-1}). At (z=1), (P(1)=n-n=0), so the first term has a
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