If a complex function f(z) is continuous at a point z = z0, which of the following statements is mathematically false?

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Mathematics · Complex Analysis

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

f(z) is always an analytic function at z0.

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Answer 1

f(z) must be well-defined at the point z0.

Answer 2

The limit of f(z) as z approaches z0 exists.

Answer 3

f(z) is always an analytic function at z0.

Answer 4

f(z) approaches the same limit at z0 along any continuous path.

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