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Which condition must a function satisfy to be analytic at a point?
  1. It must contain only real numbers.
  2. It must be discontinuous.
  3. It must be differentiable in a neighbourhood of that point.
  4. None of these
Explanation
  • An analytic function is complex differentiable in a neighbourhood of a point.
  • Analyticity is stronger than differentiability at only one point.
  • Analytic functions are important in complex analysis.

Last verified on 13-11-2026

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