Wrath of Math | Find Horizontal Asymptotes with Conjugates | Calculus 1 Exercises @WrathofMath | Uploaded 2 months ago | Updated 8 hours ago
We go over two examples of finding limits at infinity of functions with radicals by multiplying by a conjugate. Thus, we'll have a function and to find its horizontal asymptote we must multiply and divide by the conjugate. #calculus1 #apcalculus
Limits at Infinity: youtu.be/VtvpppevZao
Calculus 1 playlist: youtube.com/playlist?list=PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy
Calculus 1 Exercises playlist: youtube.com/playlist?list=PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx
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0:00 Intro
0:21 Limit of sqrt(x^2+1)-x as x goes to infinity
4:20 Limit of sqrt(x^2+3)+x as x goes to infinity
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Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, 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.
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We go over two examples of finding limits at infinity of functions with radicals by multiplying by a conjugate. Thus, we'll have a function and to find its horizontal asymptote we must multiply and divide by the conjugate. #calculus1 #apcalculus
Limits at Infinity: youtu.be/VtvpppevZao
Calculus 1 playlist: youtube.com/playlist?list=PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy
Calculus 1 Exercises playlist: youtube.com/playlist?list=PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx
Join Wrath of Math to get exclusive videos, music, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
0:00 Intro
0:21 Limit of sqrt(x^2+1)-x as x goes to infinity
4:20 Limit of sqrt(x^2+3)+x as x goes to infinity
◉Textbooks I Like◉
Graph Theory: amzn.to/3JHQtZj
Real Analysis: amzn.to/3CMdgjI
Abstract Algebra: amzn.to/3IjoZaO
Linear Algebra: amzn.to/43xAWEz
Calculus: amzn.to/3PieD1M
Proofs and Set Theory: amzn.to/367VBXP (available for free online)
Statistics: amzn.to/3tsaEER
Discrete Math: amzn.to/3qfhoUn
Number Theory: amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: paypal.me/wrathofmath
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, 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.com/wrathofmathedu
● Facebook: facebook.com/WrathofMath
● Twitter: twitter.com/wrathofmathedu
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured