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Taylor approximation simplifies complex functions by expressing them as polynomials. It is widely used in numerical analysis, optimization, and machine learning to approximate functions efficiently, reducing computational complexity and improving model interpretability. ✔️ Provides accurate approximations near a given point ✔️ Reduces computation in numerical algorithms ✔️ Supports gradient-based optimization in machine learning ✔️ Helps analyze function behavior in sensitivity analysis ✔️ Forms