Proof: Limit of a Function is Unique | Real Analysis
Автор: Wrath of Math
Загружено: 2023-06-21
Просмотров: 10370
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Real Analysis course: • Real Analysis
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We prove functional limits are unique using the epsilon delta definition of the limit of a function at a point. Precisely, we prove that if f(x) is a function from A to R, x is a limit point of A, the limit of f(x) as x approaches c is L1 and the limit of f(x) as x approaches c is L2, then L1=L2 - that is, the limits cannot be distinct. #realanalysis
Epsilon Delta Definition of the Limit of a Function: • Epsilon-Delta Definition of Functional Lim...
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