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We show the limit of xsin(1/x^2) as x goes to 0 is equal to 0. To do this, we'll use absolute values and the squeeze theorem, sometimes called the sandwich theorem. It all begins with knowing sin(1/x^2), like sin of anything, is between -1 and 1. #apcalculus #calculus1 Review for the AP Calc exam by going through this exam with me! • Math Teacher vs AP Calc AB Exam from 1988!... Limit of x*sin(1/x^2) as x approaches 0: • Limit of x*sin(1/x^2) as x approaches 0 (S... Limit of x*sin(1/x) as x approaches Infinity: • Limit of x*sin(1/x) as x approaches Infini... Limit of sin(x)/x as x approaches Infinity: • Limit of sin(x)/x as x goes to Infinity (S... 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: / 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... ● Instagram: / wrathofmathedu ● Facebook: / wrathofmath ● Twitter: / wrathofmathedu My Math Rap channel: / @mathbars2020