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The order of approximation refers to how closely a mathematical approximation approaches the actual value of a function or model as the input changes, particularly in the context of numerical methods, series expansions, or iterative algorithms. It provides a quantitative measure of the accuracy of an approximation in relation to the true value. ### Key Concepts Related to Order of Approximation: 1. **Taylor Series Expansion**: In calculus, the order of approximation can be analyzed using Taylor series.

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  1. Numerical analysis
  2. Algorithms
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