Math Solutions

(See Solution) Consider C, the path C is described by the trajectory Z(t)=Re^it, for t ∈ [0,π /3]. Prove that R→ ∞ lim | ∫_C^(dz)/(z^3+1)

Question: Consider C, the path \(C\) is described by the trajectory \(Z(t)=R{{e}^{it}}\), for \(t\in [0,\pi /3]\). Prove that \(\underset{R\to \infty }{\mathop{\lim }}\,\left| \int\limits_{C}^{{}}{\frac{dz}{{{z}^{3}}+1}} \right|=0\)

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document


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