Analytic proof refers to a method of demonstrating the validity of a mathematical statement or theorem using analysis, which often involves techniques from calculus, real analysis, or complex analysis. Unlike purely algebraic proofs, analytic proofs leverage the properties of functions, limits, continuity, differentiability, and integrability to establish results. An example of analytic proof can involve proving statements about convergence of series or functions, using tools like the epsilon-delta definition of limits, the Mean Value Theorem, or properties of sequences.
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