Abstract Traditional calculus instruction, with its reliance on formal limits, often creates unnecessary barriers for
management students seeking essential quantitative skills. To address these barriers, we advocate for gradual
linearization, an underutilized method that replaces formal limit arguments with local linear approximations. This
approach fosters deeper conceptual clarity and offers a rigorous yet accessible pathway to core concepts -- including
differentiation rules and Taylor expansions -- central to marginal analysis and optimization. Adopting this limit-free
approach enables management educators to equip future managers with quantitative reasoning skills for practical
applications, without the detour of formal limits. 
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