Limit of sin(kx)/x as x approaches 0 | Calculus 1 Exercises

We show the limit of sin(kx)/x as x goes to 0 is equal to k, even when k=0. To evaluate this trigonometric limit, we need to remember the limit of sin(x)/x with x approaching 0, which is a fundamental trigonometric limit equal to 1! If we remember this, we'll be able to solve the problem in short order by multiplying by k/k. #Calculus1 #apcalculus Limit of sin(2x)/x as x approaches 0:    • Limit of sin(2x)/x as x approaches 0 | Cal...   Proof for Limit of sin(x)/x: (coming soon): 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:    / @wrathsstash