Limit of sin(1/x) as x approaches 0 Does Not Exist | Calculus 1 Exercises
Wrath of Math
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We discuss a limit that does not exist - the limit of sin1/x as x goes to 0. This limit does not exist because as x approaches 0, 1/x approaches +/- infinity, and thus sin(1/x) oscillates faster and faster as x approaches 0. We present several perspectives of this non-existent limit. #calculus1 #apcalculus
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Limit of sin(1/x) as x approaches 0 Does Not Exist | Calculus 1 Exercises
Wrath of Math
57,175 views
We discuss a limit that does not exist - the limit of sin1/x as x goes to 0. This limit does not exist because as x approaches 0, 1/x approaches +/- infinity, and thus sin(1/x) oscillates faster and faster as x approaches 0. We present several perspectives of this non-existent limit. #calculus1 #apcalculus
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
Abstract Algebra: https://amzn.to/3IjoZaO
Linear Algebra: https://amzn.to/43xAWEz
Calculus: https://amzn.to/3PieD1M
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
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 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.
Follow Wrath of Math on...
● Instagram: Instagram: wrathofmathedu
● Facebook: Facebook: WrathofMath
● Twitter: Twitter: wrathofmathedu
My Math Rap channel: @afterwrath
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