Limit of |x|/x as x approaches 0 Does Not Exist | Calculus 1
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We show the limit of
We show the limit of absolute value of x over x, as x goes to zero, does not exist. This is because as x approaches 0 from the left, it is negative, so |x| = -x, and then |x|/x = -x/x = -1. However, as x approaches 0 from the right, it is positive, so |x|/x = x/x = 1. Thus, the one sided limits are different and so the two sided limit does not exist. #Calculus1
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Calculus 1 Exercises playlist: Calculus 1 Exercises
Calculus 1 playlist: Calculus 1
◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: Patreon: wrathofmathlessons
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
Follow Wrath of Math on...
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My Math Rap channel: @mathbars2020
2 سال پیش
در تاریخ 1401/01/11 منتشر شده
است.
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