Proof: Limit of a Function is Unique | Real Analysis

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
Epsilon Delta Definition of the Limit of a Function: • Epsilon-Delta Definiti...
Real Analysis Course: • Real Analysis
Real Analysis exercises: • Real Analysis Exercises
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Consider supporting me on Patreon to help me make high quality videos for all undergraduate math courses! www.patreon.com/join/wrathofmathlessons
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[@Podzhagitel]

The false start at the beginning made me feel like I was having a stroke

[@WrathofMath]

I edit my videos so meticulously, can't believe I missed that!

[@user-jg9td9fs3f]

Please never stop making these videos. Currently in Real Analysis and these videos are so helfpul!

[@WrathofMath]

Thank you! Good luck in class!

[@punditgi]

A nifty little proof! Nicely done. 😊🎉

[@WrathofMath]

Thanks muchly!

[@danielobanla5466]

We previously introduced the defin... We previously introduced the formal definition 😅

[@dipmondal6416]

Sir your videos are so helpful & very conceptual as well. Please never stop making this kind of videos

[@WrathofMath]

Thank you, I will continue the grind!

[@Jdhh829]

I still dont understand why we take the delta to be the minimum ?

[@darasimidada2194]

Thank youu very much man

[@WrathofMath]

You're welcome!

[@divyadharshinid7921]

Such a subtle one🩷

[@WrathofMath]

Thanks for watching!