Mathematics · Complex Analysis
Let U ⊆ ℂ be an open connected set and f : U → ℂ be a non-constant analytic function. Consider the set X = {z ∈ U : f(z) = 0}. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1X is dense in U
- 2X has a non-empty interior
- 3X is open in U
- 4X is closed in U✓
Correct answer
X is closed in U
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