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Proof: Limit of a Function is Unique | 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 #analysis
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Thanks to Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, and Shadow Master for their generous support on Patreon!
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◉Textbooks I Like◉
★DONATE★
Thanks to Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, and Shadow Master for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Follow Wrath of Math on...
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