Let γ : [0, 1] → &complex; be the function defined by t ↦ e2πit and let I = ∫γ ez e1/z dz. Which of the following statements is true?

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Mathematics · Complex Analysis

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

I = 2πi ∑n=0∞ (1 / (n! (n + 1)!))

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Answer 1

I = 2πi ∑n=0∞ (1 / (n! (n + 1)!))

Answer 2

I = 2πi ∑n=0∞ (1 / n!)

Answer 3

I/(2πi) ∈ {4n : n ∈ ℤ, n ≥ 1}

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