Mathematics · Complex Analysis
Let γ : [0, 1] → ℂ be the function defined by t → e2πit. Let I = ∫γ ez e1/z dz. Which of the following statements is true?
- 1I = 2πi ∑n=0∞ 1n!(n + 1)!✓
- 2I = 2πi ∑n=0∞ 1n!
- 312πi I ∈ {4n : n ∈ ℤ, n ≥ 1}
- 4I = 0
Correct answer
I = 2πi ∑n=0∞ 1n!(n + 1)!
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