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Якщо z_0 — простий полюс функції f(z) , то лишок обчислюється за формулою: ...

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Якщо z_0 — простий полюс функції f(z), то лишок обчислюється за формулою:

${Res}_{z=z_0}f(z)=f'(z_0)$ {Res}_{z=z_0}f(z)=f'(z_0)

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${Res}_{z=z_0}f(z)=\lim_{z\to z_0}(z-z_0)f(z)$ {Res}_{z=z_0}f(z)=\lim_{z\to z_0}(z-z_0)f(z)

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${Res}_{z=z_0}f(z)=f(z_0)$ {Res}_{z=z_0}f(z)=f(z_0)

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${Res}_{z=z_0}f(z)=\frac1{f(z_0)}$ {Res}_{z=z_0}f(z)=\frac1{f(z_0)}

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