Calculus - Infinite Limits

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  • เผยแพร่เมื่อ 16 ต.ค. 2024

ความคิดเห็น • 430

  • @onepumpchump4400
    @onepumpchump4400 10 ปีที่แล้ว +292

    is it me or is the video really laggy?

    • @lalanto341
      @lalanto341 7 ปีที่แล้ว +18

      atleast his voice is clear

    • @Benjii718
      @Benjii718 6 ปีที่แล้ว +6

      Laggy af

    • @buzzyso
      @buzzyso 5 ปีที่แล้ว +11

      this video is from 2009. what do you expect

    • @chaseramos4865
      @chaseramos4865 5 ปีที่แล้ว +5

      it's low fps not laggy

    • @VndNvwYvvSvv
      @VndNvwYvvSvv 4 ปีที่แล้ว +3

      Choppy or low fps. Not lag. Be precise with your thoughts and language.

  • @panzR696
    @panzR696 12 ปีที่แล้ว +9

    does youtube recognize that your videos are raising grades and not killing brain cells like most other videos, GIVE THIS MAN A PRIZE

  • @radangel_
    @radangel_ 7 ปีที่แล้ว +55

    11:15 I knew it I thought I was going crazy!!! I knew it was negative infinity

    • @nouresp7
      @nouresp7 6 ปีที่แล้ว +2

      yes!! negative on top positive on bottom ==> negative

  • @chinsvlogs
    @chinsvlogs 9 ปีที่แล้ว +160

    why do profs mess up our brains with complicated words when it can be as simple as this.......

    • @sofiamadlangbayan1922
      @sofiamadlangbayan1922 7 ปีที่แล้ว

      Blame the dictionary HAHAHA!

    • @520jdm69
      @520jdm69 6 ปีที่แล้ว

      I actually thought this was a little more complicated than it was taught to me at school.

  • @andresamador9855
    @andresamador9855 6 ปีที่แล้ว +36

    Answer at 10:00 should be negative infinity

  • @aentropy
    @aentropy 7 ปีที่แล้ว +102

    So basically, base on the comments, TH-cam tutorials > Our Calculus Teachers.

    • @heavysaber9431
      @heavysaber9431 5 ปีที่แล้ว +2

      Heck even my calculus prof watches TH-cam videos because they explain better than the books, hence they can review better on TH-cam

    • @ryanm6004
      @ryanm6004 4 ปีที่แล้ว +1

      Definitely. My calc teacher constantly gives us Brian McLogan videos to watch before class and to help with studying.

    • @Ekenei
      @Ekenei 4 ปีที่แล้ว

      100%

  • @FOSology
    @FOSology 7 ปีที่แล้ว +60

    Gave me a fucking heart attack when you mistakenly said it was positive infinity

  • @perccobain6745
    @perccobain6745 8 ปีที่แล้ว +110

    Why did you explain this better than my teacher in 12 minutes then my teacher did in 3, 90 minute classes

    • @20gully
      @20gully 8 ปีที่แล้ว +3

      LOL I agree though if you go seek your teacher afterwards they will do a good job

    • @abhishekbisht5901
      @abhishekbisht5901 6 ปีที่แล้ว +11

      nO TURDFACE. They are on a schedule and they have to keep up with it. Stop with the shitty conspiracy theories.

    • @heavysaber9431
      @heavysaber9431 5 ปีที่แล้ว +2

      @Illinium dumb ass that means if we get low marks we drop out of school then they lose profit that means they can't make money by making us dumber, and when a population is dumb then no job opportunities that means a lot are unemployed that means bad economy that means the government would never pay teachers to make us dumber because it would lead to bankruptcy then anarchy that means conspiracy theorist are drop out college students that also want others to drop out because they feel the more the merrier.

    • @hotandsillycinnamonrollget6697
      @hotandsillycinnamonrollget6697 5 ปีที่แล้ว +4

      Mainly due to most universities now a days being an absolute bureaucratic unit. Classes are way too large and too fast. My teacher assigns homework that is extemly difficult and I usually have to look up the answer so I don't get decent practice. The questions on the test are different than the notes making the tests difficult. Here he explains everything we need to know not confined to a cirriculum. Tbh I think University is obsolete. Patrick's (and thenewbostons) videos proove this to me. I'm only in it because some executive in an office says I need a peice of paper to have a job.

    • @heavysaber9431
      @heavysaber9431 5 ปีที่แล้ว

      @@hotandsillycinnamonrollget6697 No they're not, you're not just studying hard. In college you have to study hard and if you can't keep up then that's your problem. Some universities even offer free tutorials, you have to utilize what's already at hand. Universities have entrance exams and if you passed it then you have to keep up with the standard.

  • @RaghadQashou
    @RaghadQashou 9 ปีที่แล้ว +22

    Thank yoooou so much ,i dont know What would I do without this video

    • @patrickjmt
      @patrickjmt  9 ปีที่แล้ว +2

      +Raghad Sama (Raghad65x) happy i could help you :)

    • @nadersrouji9484
      @nadersrouji9484 9 ปีที่แล้ว

      +patrickJMT fast question if the number on top was negative and the 0 on the bottom was also negative does that make the infinity positive? because my doctor wrote it negative infinity

    • @hadiabadi4538
      @hadiabadi4538 8 ปีที่แล้ว +2

      +Nader Srouji there is not negative zero in math it is just zero

    • @nadersrouji9484
      @nadersrouji9484 8 ปีที่แล้ว

      Hadi Abadi not negative 0
      But 0-

    • @hadiabadi4538
      @hadiabadi4538 8 ปีที่แล้ว

      +Hadi Abadi even if you multiply the zero by negative the answer would be zero NOT negative zero

  • @Prophetic_heirs
    @Prophetic_heirs 9 ปีที่แล้ว +4

    even the profs at my internationally recognized university dont teach so well as you do...
    Salute you...
    Helping me be an engineer for two years :)

  • @KdancerofHipHop
    @KdancerofHipHop 10 ปีที่แล้ว +6

    Can you please make another video on infinite limits with more complicated examples such as the function of x containing the absolute value of x?
    Your videos are so so so helpful, thank you!

  • @RockThatTele
    @RockThatTele 11 ปีที่แล้ว +1

    Your videos are wonderful, keep it up please. I just started taking calc and i have been having a lot of trouble. With the online homework i don't understand why i am getting the answers right but your videos help me understand so much.

  • @carlyb4673
    @carlyb4673 9 ปีที่แล้ว +3

    It's definitely helpful that you're going slow and taking the time to show your thought process for this whole thing! Thanks :)

  • @mariechaekyung3
    @mariechaekyung3 9 ปีที่แล้ว

    Life saver. my teacher is a horrible explainer. He knows his calculus very very well, but his explaining leaves a lot to be desired. Thank you for this!

  • @golfkid333
    @golfkid333 14 ปีที่แล้ว +2

    Thanks man, you just did a better job explaining limits in 12 mins than my teacher is able to in 50 mins.

  • @subhodeepster
    @subhodeepster 15 ปีที่แล้ว

    hi this is the first comment i am posting after having viewed three of your slides....
    permutations , combinations and even this one.......
    i had not learnt them till date but spending around half an hour with you has helped me a great deal....
    greatly indebted....
    is this your hobby .. because you are so good at it ???

  • @VanillaFllare
    @VanillaFllare 14 ปีที่แล้ว

    Thank you very much!! When I get calculus ADD while watching this it's so useful to be able to rewind and play again. Unlike getting calculus ADD in class where I miss ten minutes and don't understand the entire lecture!!

  • @KaykSkellington
    @KaykSkellington 13 ปีที่แล้ว +3

    Your videos are amazing, they have helped me so much! I have been paying for a tutor yet I feel I am benefiting way more from your videos! :)

  • @metamegaman
    @metamegaman 14 ปีที่แล้ว

    this video helped a lot...i actually caught your mistake right before the little comment bubble you put popped up and confirmed it. im taking calc 1 this semester in my college and this is the 3rd video of yours that has been a great help. keep up the great work! thanks a lot!

  • @dragoncatoverload
    @dragoncatoverload 12 ปีที่แล้ว +1

    The main problem I had was figuring out whether something was positive infinity or negative infinity. This video cleared it up
    Thanks

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว +3

    @dragonflar8 that is correct

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @steverock85 yes, everyone complains. but they do not complain about the fact that everything on youtube is FREE! : )

  • @robinfr93
    @robinfr93 11 ปีที่แล้ว

    What I like I about your video compared to any of the other ones in youtube is..
    Your videos are SIMPLE, they have just the right amount of material and info..
    Nothing less and nothing more..
    And something to find out by oneself..
    :)
    I still don't understand why you weren't selected for the live tutoring program by youtube..
    Probably because of the low subscribers..
    You here that people starting spreading the message!!
    We need to get this guy and his channel KNOWN!!!

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @RipplingSHockWave i have no idea what you are trying to say, but i am glad u like my math

  • @gracetsangaris922
    @gracetsangaris922 7 ปีที่แล้ว

    You are my hero.--Your use of notation is sublime. You are an exceptional mathematician.

  • @XSmfatcat
    @XSmfatcat 10 ปีที่แล้ว +25

    came into this wondering how much a 12 minute video could help, came out of it wondering where you've been all my life

  • @tramnguyen237
    @tramnguyen237 12 ปีที่แล้ว

    OMG I was cried sooo hard because I totally did not get this !!! but now I can be at ease go to bed after watching your video!!! it prepared me for my test!! Thank you very much

  • @cubencis
    @cubencis 15 ปีที่แล้ว

    what a mind-bogglingly straight forward explanation of limits. that beat a sem of sngl variable calc. thanks...

  • @Nawafy007
    @Nawafy007 10 ปีที่แล้ว +96

    Who else has their exam in 4 hours?

    • @kobefan009
      @kobefan009 10 ปีที่แล้ว +1

      Haahaha exactly 4 hours loool

    • @valerianeth
      @valerianeth 10 ปีที่แล้ว +3

      in 1h30min lol final exam :\

    • @7Singularity
      @7Singularity 10 ปีที่แล้ว +3

      10 hrs left !! wish me luck.

    • @shiveshjackpersad1461
      @shiveshjackpersad1461 5 ปีที่แล้ว

      ye

    • @josethehipocrite
      @josethehipocrite 5 ปีที่แล้ว

      It’s 830 am and the test is at 1pm lmao nice

  • @TheWaffleofWisdom
    @TheWaffleofWisdom 12 ปีที่แล้ว

    When does one attempt to find the left limit and right limit? Is it when they ask you if the function is continuous? How about simplifying, factoring, and using conjugates. Is that when you are asked to evaluate?

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว +1

    come back any time :) i am always here!

  • @Taareshcool10
    @Taareshcool10 12 ปีที่แล้ว

    hey patrick....u r d best....u've really got this unintuitive "infinite limits' in ma head....thnx...

  • @narleydude1
    @narleydude1 15 ปีที่แล้ว

    Thanks for your reply. You're right, We're done with limits @ school, So I had to double check what you said and its true, I may have entered some wierd data on the math software last time I used it. Thanks again.

  • @GeotheDio
    @GeotheDio 13 ปีที่แล้ว

    You are saving my life as I cram for my AP Exam.

  • @DKZK21
    @DKZK21 5 ปีที่แล้ว

    My man wiping boards with his hands for us what a hero.

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @pssurfer7 yes, she was doing 'limits at infinity' - that is, when the independent variable (x) becomes arbitrarily large (goes to positive or negative infinity). The problems I do are often called infinite limits because the dependent variable (y) either goes to positive or negative infinity.

  • @TheBirdMan
    @TheBirdMan 13 ปีที่แล้ว

    i was trying to figure out how you brought + (INfinity in start) i watched so many times that how + and - gives _ LOL>>.but you corrected it..thanks for an awesoem video.

  • @trollingmananaps6403
    @trollingmananaps6403 4 ปีที่แล้ว +1

    i think you will use (0.9,0.99,0.999) instead of (0.1,0.01,0.001) if its from the left

  • @mrfarooqkhan8454
    @mrfarooqkhan8454 11 หลายเดือนก่อน +1

    Great video

  • @semisikaufusi2467
    @semisikaufusi2467 7 ปีที่แล้ว

    Your approach defining infinity in relation to limits could not be simpler than that....Great job on it. OBTW, Got the book already, my son already said it great book...will give it to the other son in college taking calculus. Again, great job.

  • @LowGhostRider
    @LowGhostRider 10 ปีที่แล้ว

    Patrick you could, like my teacher, refer to the denominator (what it will end up equaling) as a + or - SMIDGE. Meaning like if u have 5.001-5 you will have a + smidge when approaching from the right..so its (+) infinity since all numbers beyond 5 will create a + number

  • @joshuaferguson7464
    @joshuaferguson7464 12 ปีที่แล้ว

    dude seriously thank you so much.. this was understandable because you defined why these are the way they are and then run through it step by step as to train my brain on the way you think. i feel like i have hope for tomorrow's test now!

  • @Ashbourne03
    @Ashbourne03 14 ปีที่แล้ว

    i hope your video's will save me.. im learning more from you than my prof. I'll have my final exam tomorrow, i have to get 51/70 to pass the subject. if i fail, i have to repeat it next yr, which will cause me to delay 1 yr in college.

  • @cfaion341
    @cfaion341 11 ปีที่แล้ว

    you're awesome dude! I'm pretty much fluent with limits but I still watch your vids everytime I have tests coming up! best revision method ever!

  • @mypinkdollprincess
    @mypinkdollprincess 14 ปีที่แล้ว

    thanks a zillion! you have no idea how helpful these vids are! Thanks again!!!

  • @brandonheath6246
    @brandonheath6246 ปีที่แล้ว

    When you calculate infinite limits, can you take the decimal of the x value and convert it to a fraction, and then can you leave your y value in fractional form? For example if you have to evaluate 5.5 can you convert to 55/10 and then do 6÷55/10 to get the fractional answer?

  • @TheMechaBrittany
    @TheMechaBrittany 11 ปีที่แล้ว +1

    I rewatched that problem like 4 times because I didn't notice the note haha .I was trying to figure out how the hell that turned positive!
    but basically, x/0 = + or - infinite?

  • @chintoo266
    @chintoo266 14 ปีที่แล้ว

    am already BSc .........three years back
    now i have a test to appear in calculus.......and totally blank in ir
    But Sir thank you very mush with all the due respects and reverance........your vids are a priceless
    Hazrat Ali (R.A) said : A person who taught you One Word is Your Teacher.....You are my teacher now...........

  • @vlasevmovement
    @vlasevmovement 15 ปีที่แล้ว

    + infinity is a shorthand for being able to make the value of the expression in question as large as we want it to be, by taking x closer and closer to the limiting value...

  • @Iba12345
    @Iba12345 11 ปีที่แล้ว

    Patrick you are an angel sent by the mathematical gods, god bless your soul.

  • @AfroQueenB
    @AfroQueenB 14 ปีที่แล้ว

    Amazing lesson you could easily replace all the calculus teachers at my school... Thanks, I have just mastered limits!

  • @cortezjose6
    @cortezjose6 11 ปีที่แล้ว

    You deserve a Nobel peace prize in Math for making it more accessible to everyone. Your videos get 4!thumbs up! (I included my toes)

  • @patrickjmt
    @patrickjmt  15 ปีที่แล้ว

    thanks, i appreciate the kind words

  • @Atheist269
    @Atheist269 15 ปีที่แล้ว

    dude THANK YOU!. i got everything in calculus this far except chapter 1 which happened to be limits... and my common exam in 3 days is only on chapter 1 (even though the teacher said it will be on all 11 we learned lol) and now i think i get it. i was especially confused with -infinity and positive and the small plus/minus sign, but now i get it :D. Thxxxxxx

  • @matcha5836
    @matcha5836 7 ปีที่แล้ว +1

    I reached college without knowing this and now I'm suffering. Thank you so much for your videos!

  • @yigs7339
    @yigs7339 10 ปีที่แล้ว +87

    got a midterm in half an hour, lets see how i do...

    • @patrickjmt
      @patrickjmt  10 ปีที่แล้ว +41

      i hope it went well! if nothing else, at least it is over.

    • @yigs7339
      @yigs7339 10 ปีที่แล้ว +33

      it went pretty well thanks to your videos! i watched about 20 of them while studying!

    • @BrownSugarGene
      @BrownSugarGene 7 ปีที่แล้ว +2

      graphing in math

    • @juggernautjay307
      @juggernautjay307 4 ปีที่แล้ว

      me too

  • @brandonsifuentez1921
    @brandonsifuentez1921 11 ปีที่แล้ว

    Your videos are of such great help! Thank you for doing this and for free. Thank You soooooooooo much!

  • @droppingsack
    @droppingsack 12 ปีที่แล้ว

    you are so damn right. the information is free and it is out there

  • @narleydude1
    @narleydude1 15 ปีที่แล้ว

    Hi. Um, I have a question. I solved your last example using CALCULUS SOLVED on my PC (math software). Anyway, I solved it and the answer came out as THE LIMIT DOES NOT EXIST. I understan the reason behind both answers (your's and the computer's) and how to get there. My question is this. If on my next test, I have to solve a limit like this one, what "road" should I take. Both answers make a lot of sense, and yet, they are completely diferent.

  • @sir.francislow5257
    @sir.francislow5257 7 ปีที่แล้ว

    Where would I be without you Patrick?

  • @chunkylover817
    @chunkylover817 13 ปีที่แล้ว

    You are a lifesaver! man good job and thanks for being my tutor :D definitely subscribed ^^

  • @INDIAN5001
    @INDIAN5001 11 ปีที่แล้ว

    Thanks so much! Idk why everyone is crazy about Khan Academy, you are so much better!! Can't thank you enough!

  • @kurushseyfaddini1728
    @kurushseyfaddini1728 7 ปีที่แล้ว

    i really like how simple you teach thanks alot

  • @erikationofkita
    @erikationofkita 14 ปีที่แล้ว

    thanks for this vid! im takin calc this semester and you do a really good job of explaining it so simply. thanks :D

  • @SpacySpaceCadet
    @SpacySpaceCadet 14 ปีที่แล้ว

    Thank you so much, This made so much more sense than my book.

  • @unrivaled37
    @unrivaled37 13 ปีที่แล้ว

    thank you so much, greetings from san salvador, el salvador!

  • @letmebeintan1253
    @letmebeintan1253 6 ปีที่แล้ว

    I found this very helpful thanks a lot ! Thanks for changing the infinity sign as well..

  • @CheesedipProd
    @CheesedipProd 11 ปีที่แล้ว

    Thank you so much! I shall donate once I graduate!!

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว

    dne. they are all dne if the limit is not finite.

  • @lanfred619
    @lanfred619 8 ปีที่แล้ว +1

    mid terms tomrow and u saved my grades ty :)

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @martialrockarts2 u r very welcome

  • @aytanbabayeva6075
    @aytanbabayeva6075 9 ปีที่แล้ว

    Your explanation is really awesome. Thank you.

  • @papajerry3413
    @papajerry3413 8 ปีที่แล้ว

    this helped me alot in my quest for a great nut and mathmatics

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว

    that is an indeterminate form. you can use l'hospital ( l'hopital) rule to find the solution.

  • @aeropostale4277
    @aeropostale4277 14 ปีที่แล้ว

    i got a 98 on my math test after watching all of your limit videos (never got over a 82 in math bfore this) thank you so so so much

  • @Scarf3086
    @Scarf3086 13 ปีที่แล้ว

    Are you a grad student / professor? You must be some sort of teacher, as your videos are super useful (even for undergrad math majors XD) I was refreshing my knowledge so I could tutor somebody and your videos have been a great help. I'll gladly watch the commercials if you get a pay check for it lol

  • @P14N0L0V3R
    @P14N0L0V3R 12 ปีที่แล้ว

    unlike my teacher, you never use old, unreadable markers. that's what makes you different
    from all the students cramming for finals, thank you

  • @hiddengoals8890
    @hiddengoals8890 11 ปีที่แล้ว

    All your videos really did help me a lot for i had a quiz today and it helped me! Thank you kind sir! God bless you :)

  • @ehinomeiyayi4289
    @ehinomeiyayi4289 10 ปีที่แล้ว

    Wooooooow that was super helpful. Can't believe I understand now! But what happens to tan x in the squeeze theorem?

  • @chriswilliams5291
    @chriswilliams5291 ปีที่แล้ว

    For the last problem when checking numbers near 5 is the reason you only look at the x^2 because it has the most significant changes to the value of the function?

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @DakotaWiggles okie dokie

  • @EADgbeist
    @EADgbeist 4 ปีที่แล้ว

    A limit must approach a real number. The notation lim f(x) = ±∞ describes the function's asymptotic behaviour (at a vertical asymptote) -- but the limit does not exist.

  • @manyiuwong2586
    @manyiuwong2586 10 ปีที่แล้ว

    your video helps me to get a good grade in mid term, thx!

  • @patrickjmt
    @patrickjmt  15 ปีที่แล้ว

    all ready have a bunch of l'hospital rule problems!

  • @SpykerLN
    @SpykerLN 12 ปีที่แล้ว

    Thank you so much for all of your videos! You're helping me pass my calculus final. :)

  • @warnexus
    @warnexus 13 ปีที่แล้ว

    thanks man! you made it easier to understand!

  • @Waranle
    @Waranle 15 ปีที่แล้ว

    Thank you Patrick, good to see you, im Glad your back, hope you doing well.

  • @hedgehogparasite3953
    @hedgehogparasite3953 11 ปีที่แล้ว

    Amazing video. I think it's one of the best channels on all youtube. Rly, it helps a lot.
    Now I've got a question. When do people in US study limits? Do they do it in school? Because here in Russia, we do. Same with derrivatives and integrals.

  • @ziramrivera
    @ziramrivera 12 ปีที่แล้ว

    Im confused. Is a limit with discontinuity the same as infinite limits? And, how do you do that inverse? i mean, you dont know what value x approches, and your given this function, you have to know what x is in that function. ugh. i hope im making sense. and thank you for your help!

  • @patrickjmt
    @patrickjmt  15 ปีที่แล้ว

    howdy waranle! all is well here; hope you are doing good yourself

  • @20gully
    @20gully 8 ปีที่แล้ว

    Thanks you so much! but would it be possible to re-upload this particular video? It seems to be more stuttering compared to other videos for some reason.

  • @simplyincredibl
    @simplyincredibl 15 ปีที่แล้ว

    great site and work thanks! any chance of doing some harder limit problems and maybe some proofs involving epsilon delta ('tis so confusing!). cheers!

  • @URBNSpice
    @URBNSpice 13 ปีที่แล้ว

    For the answer at the end, could you say x->0 = -Inf?

  • @MHSSA1
    @MHSSA1 11 ปีที่แล้ว

    So? anytime you divide the function, except trigonometric ones ,to zero the solution will tend to infinity?

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @chintoo266 glad you like the vids : ) good luck in your studies!

    • @viviamescobar7468
      @viviamescobar7468 ปีที่แล้ว

      I love your videos, very helpful I wish I can have you as my professor 🙏🏼❤️❤️❤️❤️😭

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @zabsem i do not think i am much different from most

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว

    @jinlane correct.

  • @asugrue9367
    @asugrue9367 10 ปีที่แล้ว +4

    I

  • @peterpatalano
    @peterpatalano 15 ปีที่แล้ว

    About to take my calc final... thanks patrick.

  • @peinismine
    @peinismine 12 ปีที่แล้ว

    What if you have a negative finite number on the numerator, and a negative zero on the denominator (as in 0^-). Would you get a positive infinity as the limit?