Continuity and Limits with Applications to Economic Functions

Mathematics — 2025, Undergraduate

This study examined concepts of continuity and limits and their application to economic functions. Representative demand, cost, and growth functions were analysed for continuity, limiting behaviour, and endpoint properties. The findings revealed that continuity assumptions permitted reliable use of marginal and equilibrium analyses, while discontinuities corresponded to economically significant thresholds. The study observed that limit-based reasoning clarified asymptotic behaviour. It recommends grounding economic modelling in rigorous analysis of continuity and limits.

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