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In this video, we discuss the behavior of a rational function near its vertical asymptotes using their multiplicities and draw analogies with behavior near a root of a polynomial. This is lecture 31 (part 2/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 1050 - College Algebra at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: https://drive.google.com/file/d/1vxJb... This lecture is based upon general college algebra curriculum and not based upon an individual textbook. With that said, this lecture series is influenced by many great college algebra textbook on the market, namely Sullivan's, Stewart's, OpenStax's, McKeague's, Stitz-Zeager's, and many others. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.