How to Find the Horizontal Asymptote (NancyPi)

MIT grad shows how to find the horizontal asymptote (of a rational function) with a quick and easy rule. Nancy formerly of MathBFF explains the steps.
For how to find VERTICAL asymptotes instead, jump to the video: • Vertical Asymptotes......
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The degree of a function is the highest power of x that appears in the polynomial. To find the horizontal asymptote, there are three easy cases. 1) If the degree of the numerator expression is less than the degree of the denominator expression, then the horizontal asymptote is y=0 (the x-axis). 2) If the degree of the numerator is equal to the degree of the denominator, then you can find the horizontal asymptote by dividing the first, highest term of the numerator by the first, highest term of the denominator. This will simplify to y = some constant (just a number). 3) If the degree of the numerator is greater than the degree of the denominator, then there is no horizontal asymptote.
For more of my math videos, check out: nancypi.com

[@noneatthistime]

Thank you. I have a condition known as PTSD and at 45 my brain is not as sharp/or memory as good so I have to work a little harder. You have been so helpful, very grateful for your service to the community. Thank you

[@francishendershott7888]

Nancy, why is it that you can take a simple concept and make it simple, while my professor takes a simple concept and make it extremely difficult. IT'S BECAUSE MY PROFESSOR WANTS TO SOUND SMART!!! You, on the other hand are humble and good. You don't want to impress anyone, you just love math. So beautiful!!! Inside and out!!! YOU!!!

[@antoniovazquez2744]

You took those words out of my mind, random person of the internet.

[@a.s.l711]

it goes both way. for me i see it someone wants you to learn thehard way because as you progress, understanding it properly make it easy for you extend it. another is just give you what you need to finish the problem at hand. so i will come to nancy's video and continue on prof's lecture.

[@learnscape4231]

visit Learnscape, any question on the limit you can solve. log(infinity) explained

[@mimie0002]

We love you Nancy

[@giemar8307]

You are absolutely right! Most of the classroom teachers are... they want the students to suffer when there are easy ways to approach them...

[@triciaestra]

Nancy, your videos have assisted me greatly in my Business Calculus Class. You are able to break down the concept and problem in such an incredible way that people like myself who have struggled all my life to understand Mathematics can learn problems I never thought imaginable. Thank you!

[@luisa_4120]

you are amazing!! 😱i cant believe someone made it so simple.... now i look at my class notes and wonder if my teacher made it so complicated on purpose🤔

[@alexhernandez-uw5wn]

for real. I feel like he wants to make it harder to seem smarter

[@EvianY-ew5fo]

Yeah my teacher did the same and most of the class was confused. I understand that he just tried to explain the concept but it was unnecessary because it really made me worry😭

[@learnscape4231]

visit Learnscape, any question on the limit you can solve. log(infinity) explained

[@QueenLori07]

Okay but asides from the fact that she's a great teacher she's now reached the top tiers of awesomeness because of her ability to write backwards so perfectly

[@MrMusicM67]

She is not writing backwards

[@dustiistars9772]

@@MrMusicM67 she literally is lol

[@MrMusicM67]

@@dustiistars9772 No, it is a reversed board lol. Look it up :) It's pretty interesting

[@dustiistars9772]

@@MrMusicM67 oh my bad- I never heard of it lol that's pretty cool

[@staidey5994]

@@MrMusicM67 it's not a reverse board. It's a regular transparent acrylic sheet on which gets recorded and mirrored during video production so that it's coherent. Host's face also gets flipped during production but it's not noticeable as our faces are perfectly symmetrical.

[@lalysaxenian]

i have failed one exam because i got these wrong, i wish i could go back, you have made it so easy

[@gregoriojovilynt.5302]

Such a great help for our exam tomorrow! I love how u write and explain. Thank you! ❤

[@darienford860]

Stop making things this easy it is starting to scare me

[@nazombie7935]

It shows your learning if it looks easy to you!!! It was hard before right? Now you truly understand

[@nicopiazza5977]

SIMP

[@krronx8075]

@@nicopiazza5977 ....

[@kk8490]

@Nico Piazza you’re so cringe

[@canwehitSubswithoutvideo-ic7nf]

@@nazombie7935 yeah but it also shows how stupid we are :(

[@SleekSpacesLiving]

What the fudge. I know every student is different and learns differently but gosh I wish I had this kind of teaching in high school. I’m here struggling in college algebra ... in college. I have my exam tomorrow and youe videos are helping me so much. I wanna cry lol. Omg God bless you! Thank you!!! 🙌🏽

[@pascalgbiel]

Your way of tackling math problems is just amazing. Love you so much. You make math easy for me

[@jeffjeds6893]

All your videos are so easy to understand than the university I attended. You are so awesome and thank you for doing this. I used to hate Math but now I can fairly get along with Math.

[@user-wy7wl5on7l]

I was not taught this and became confused in my final review. This ideas seems to be the only one I could find that didn't mess about and just explained it. By far the best video on this topic.

[@stevensealey4959]

I have been seriously stressing over this stuff. Your videos have made this extremely easy to follow and understand!

[@gregjohnson2335]

How in the hell are you writing backwards????
Edit: As a multitude of people have helpfully pointed out, she is writing on glass and then flipping it post-shoot. Thanks for all of the replies.

[@paradox...]

Mirror? 🤔 it's trippy as hell though

[@FlyingUnosaur]

Just flip the video while editing.

[@Backflipmarine]

Nancy just has that kinda skillz

[@gregjohnson2335]

@@FlyingUnosaur wow, can't believe I didn't think about that. Thanks Yoked

[@isaac_sully]

That's what I'm saying! She's got the skills alright! Seems a little unnecessary though. I guess that's just the thing that sets her teaching style apart.

[@bimal_reacts]

Thank you so much.Your 5 min video is way more better then couple of months in math function class.

[@rickyspanish6087]

Thanks alot, books and teachers tend to over explain such a simple concept.

[@josephgachuho1011]

Ricky for reals

[@ibrahimgokpnar1675]

this is the best video for this subject . u're the best teacher i had ever seen.

[@Danymok]

I cannot believe it is that simple! Thank you so much!
Also, you are very skillful to be able to write backwards that well. 👍

[@Noneblue39]

love the quick rules that you used for HA's!

[@joshuabenzel103]

NancyPi you are my hero! looks like you will be my real teacher this semester... Thanks!

[@jeancarlosortiz1941]

You're videos are always helpful. You're an amazing teacher

[@mikebatres3466]

Your videos are amazing, I have to take my algebra final on monday and i know im going to pass it because you explain these concepts in a way I can understand them.

[@Jacksonbre]

Short and simple easy to follow. Thank you

[@teferashimbulo3274]

Nancy is my favorite tutor; blessed skill and mind.

[@juliocarballo1871]

I love you Nancy Pi💚❤️, thank you and thanks god for running into your videos , keep going your helping so muchhh

[@TheVemitha]

Thank you very much. please keep up doing more videos. Really appreciated!!

[@ericjaramillo1381]

Literally have an assignment due in the morning and u saved my guts tysm:)

[@dugunu34]

Thanks, NancyPi, you make Math so easy for me. Good job

[@hansiniede3385]

Currently studying for a test, your videos are amazing! Thank you :)

[@mansiglobal]

I have my boards soon and you don't know how much this helped me, tnx a ton Nancy!!

[@gabbykao1557]

you saved me before when I was in my algebra 2 class, you're saving me again in my precalc course over the summer (i forgot again lol). Thank you!

[@tenikedkdeklerk3095]

Haleluja, I was watching 5 videos of this other guy explaining this and I still couldn't understand it. Thank you. all I needed in 5 minutes instead of 5x20 minute videos.

[@aafiakhan314]

Thank you. i was watching organic chemistry tutor, and he was explaining, and by just looking at u r thumbnail, i understood how to find horizontal asymptote

[@ianmchatton4403]

This helped me so much. Thank you!

[@emmasmith9785]

OMG! I have a quiz tmw. And I'm freaking out, but you made it so easy!!!!

[@madammarie2420]

Wow, my textbook and professor made it so complicated. I love your video and you are excellent! I'm so glad I found you, may you have a successful and bright future!

[@blessingmare9710]

I absolutely love how u make it so understandable ❤️💕💕❤️and so simple I absolutely love you 💖

[@Averagemexicangirl]

ive watched this video like 15 times this semester. thank you

[@khadijakanwal8119]

Can you please make a video on explaining the graphs of horizontal asymptotes ?
Your teaching way is so good 😊

[@ihrammuzayen7106]

Thanks so much Nancy!

[@VinOnline]

you are such a life saver, thank you infinitely, like a verticle asymptote.

[@rubyrose3171]

Thank you Nancy! You're the best

[@giemar8307]

Thank you Miss Nancy.. God Bless You..

[@thestoryinwonderland4242]

Thank you so much from Norway and you made my day ;)

[@adekolaakanni3053]

Good Work. Learning made easy. Thanks.

[@muqeethurrahman6362]

Thanks a lot! That seemed much simpler.

[@DefinitelynotLeed]

Thank you! I was on the verge of smashing my head on my bed out of frustration

[@AnniePrincySugnaya]

Simple. Easy. You made my day

[@hankyt2928]

Thank you very much Nancy

[@eden7577]

Ok but i love you. Uve made my life soooo much easier man. I really do...love you

[@delacrusito2340]

YOU OUT HERE SAVING LIFES 🙏

[@il0v3r0ckk6]

This helped so much ty bbg 🙏🏻

[@lordamitbag8579]

Plz post more videos
Love your teaching Nancy

[@Gambito22]

Your videos are getting me through my online class!

[@eshetugebre855]

Clear and precise explanation

[@kaelyn3313]

all i have to say is thank you for making this soooo simple:)

[@willt8156]

It was very clear! Thank you!

[@thvtsydneylyf3th077]

I don't wanna mess with limits so i liked your video :) Cheers Nancy !

[@armanim1353]

Amazing how you are writing that towards us!

[@afnan4]

You make it so easier to me thanks a lot 😍

[@yasmineyasmine8059]

Thank you Nancy!!!!

[@wishmikaveesharathnayake]

Thanks teacher Nancy ❤

[@ahmadmujtba8168]

Thanks. Helped a lot ❤.

[@yormom420]

I am prepping for sat and because of you I think am gonna have the math section

[@amirkhanguliyev4990]

Thanks for the easy explanation)

[@emaanpresswala5311]

This video makes H.A. so much easier to solve. Thanks!

[@nekofan4798]

Excellent, thank you!!

[@uditsaxena3844]

Thank you so much you make maths so easy

[@elainel7503]

thank u! u explained it so much quicker and easier than my textbook

[@ayaanshuraim9374]

That is sooo simple, thanks alot saved my day

[@eriakiyemba9325]

JUST SAVED ME ON THIS TEST THANK YOU

[@Meera1961]

Very excellent explanation

[@Marietta11]

Thank you Nancy

[@khadarkhaliif5667]

Thank you. You’re the best.

[@talitareginadomingos4992]

excellent teacher Nancy, you earned more one subscribe.

[@clarykphm]

i'm studying for my final and u just saved me. THANK U

[@mohammedal-shatub1971]

Awesome. Thank you so much

[@UberAdventures101]

Saved my life! Thanks.

[@solid4654]

thank you . you made my day : )

[@nazombie7935]

Great explanation!!! I am still going to practice the oblique or slate asymptote. Can you make a video on long division with equations?

[@PP-om9dd]

you saved my life during quarantine. if it wasn’t for you, i’d fail algebra

[@RobinsonLA]

You actually make sense I love yoy

[@lukegarrett2366]

thanks super helpful!!

[@SimchaGeller]

You are the most helpful

[@ashutoshjha225]

Amazing way of writing 🤩🤩

[@voxvolhynia5400]

An hour and a half. That's how long one of my professors took to explain this to the class (the one that normally just sends us links to other professors on youtube instead of teaching us). Luckily I had already learned it in high school, so although I forgot since, it came back to me quickly. I guarantee that this video, if shown to the class, would have taught _at least_ 90% of them within these few minutes.

[@TheBernie8822]

You’re a lifesaver!!!!

[@JorgeRamos-ix1jm]

Awesome videos!

[@Annie-mk8gq]

You're awesome thank you !

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NancyPi saving my math grade AGAIN :D

[@gabmarq]

GOD BLESS YOU NANCY!!!

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You are the best Nancy! ;)

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thank you so much. you are a genius!

[@aksharvijay8752]

Thank you ma'am!

[@animeshkumar7380]

Nice explanation

[@vassiliosfakan7091]

Thank you very much.

[@tkhue3296]

I come because i want to learn maths ,
but now maths doesn't matter any more ,
I come because of Nancy .

[@SuperYoonHo]

thank you!

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Thank you🥺

[@charliekulkarni8864]

My lifesaver!