This paper introduces a new framework called Divergent Calculus for performing calculus-like operations on divergent series based off the Cesaro (averaging) limit.It introduces the Fundamental Theorem for Divergent Series, average differential equations, average implicit diffrentiation and partial average diffrentiation for divergent series. This is only a first draft; there may very well be mistakes.
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Prayaan Sharma (2026) studied this question.
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