Finding a Horizontal Asymptote of a Rational Function (Precalculus - College Algebra 40)

How to identify when a horizontal asymptote will occur in a rational function, how to find it, and why they happen according to limits.

[larry]

What Professor Leonard does differently than most YouTube instructors is he forces the viewer to think critically instead of just giving them a “method.”

[raiavigil]

Explaining WHY makes all the difference in the world! Many thanks, you are the G.O.A.T.!

[RarelyRuby]

Thank you for your in depth explanations! I can't help but wonder "why" all of the time and your videos help me better understand that for all of these concepts so far.

[xabianton]

Thank you for these videos! They’re life savers because I’m taking a math class after not having taken one for like 500 years 😂

[hamzaissa]

Professor Leonard, you are an absolute legend.

[lisztomani_a]

I love how you ACTUALLY explain these concepts and I can fully grasp why these things happen🤍 wish I could be your student irl

[georgesadler]

Professor Leonard, thank you for a well-organized video/lecture on Finding Horizontal Asymptote of a Rational Function. Graphing techniques are simpler when students understand vertical and horizontal asymptotes.

[uNknownrMx]

How can I ever thank you professor? ❤️

[Heavenlight]

Great Video. I am really interested in your other upcomming series. I hope I will see you teaching linear algebra.

[zooqanpawar]

I really wanted to learn calculus, ( but had no way of doing it. ) These videos are great. Thanks so much

[jennaho]

Your videos are amazing! Keep up the good work!!

[WOLF]

Thank you sir, you've helped me a ton

[sysyphenfewtfr]

Sir approximately how many videos are left to end this precalculus series so you can start linear algebra or advanced statistics?

[Squash]

So I've been watchign this whole playlist and I have to say this is probably the BEST way to learn math. I have never understood math this well. Only problem is an this might sound dumb but how do I retain this information for calc 1 like thats my biggest fear. I plan on taking calc 2 upcoming semester an need to grind these vids out but how do I not forget stuff I've learned

[therandomperson]

a way I like to think about limits with horizontal asymptotes is like a car slowing down and it is approaching the spot it will stop but not quite.

[dellbridge]

Professor Leonard, are you familiar with the film named Fermat's Room?

[boumgrdeyassine]

Are there lessons for the first year secondary?

[Rossbach]

Prof. Leonard sure makes a bum out of the math profs I had in college.

[chadbyron]

Math is just like lifting weights, there are max's that you can go to but not beyond. Beyond only fatigues you and you have to come back later when your mind is stronger. That infinity to zero concept is close or at my max lol

[adityalamba]

Sir Please upload lectures on Complex Analytic Functions. I'm preparing for a competitive exam.