Polynomials and Rational Functions are Continuous | Real Analysis

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We prove polynomials are continuous and prove rational functions are continuous using our basic continuity laws and the fact that f(x)=x, the identity function, is continuous. We also see some examples of evaluating limits of polynomials and limits of rational functions with our newly proven continuity! #realanalysis

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Thanks to Loke Tan, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

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Support this course by joining Wrath of Math to access exclusive and early videos, original music, plus the real analysis lecture notes at the premium tier!

WrathofMath
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I continue to marvel at all these videos! 😊

punditgi
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please, continue on proving derivatuves and topology of real numbers

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