Finding Limits with Properties includes Quotient Rule Calculus 1 AB
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- Опубликовано: 2 ноя 2024
- I work through 6 examples of finding the limit of a function as "x" approaches "a"...though at the start I state that I am doing 4:\ Four of these examples involve quotients where the function may be undefined at "a". EXAMPLES AT 2:23 3:20 6:05 8:23 13:40 18:59
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Thank you again for this video. I just started my calculus class. I put it off so long because I had to relearn all of high school and college pre-reqs that I already had credit for and now it is my senior year so I can't put it off any more. :-) You saved me THOUSANDS of dollars! My online calculus class has NO LECTURE VIDEOS! omg! I am expected to learn straight from a book. You are a lifesaver!
P.S. I tutored a classmate in statistics last semester, and I sent her to your channel, too! I wouldn't have a 4.0 without you.
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Update: I got an A in calculus. :-)
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It is always a very good idea to start with finding the domain of the functions you are working with. For these questions I am only asking for the limit as x approach a constant, so I would not require my students to give the domain of the function as well. The fact that the second example is undefined at -1 shows that the limit does not have to equal the functions value at that point.
Just shared your channel to everyone in my analytical calculus and geometry class.... WE ALL THANK YOU FROM THE BOTTOM OF OUR HEARTS!! Unfortunately most schools are not as lucky to have outstanding teachers like you so it is very much appreciated that you take your time to do these videos to help students actually learn whats going on behind the scenes of the concepts and formulas. Most of us are majoring in some sort of science and engineering program so this will help us for the rest of our lives.. Again, Thank YOU So Much!!
+Dylan Causbie Mrs T here...oh my goodness...that's AWESOME!!!
Thanks for taking the time to share your appreciation, for taking the time to share and for the heartfelt comment!
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Thank you so much for addressing quotients. My teacher and videos on youtube only do the simple problems that of course I know how to approach. But no one ever takes the time to work out the harder problems-which of course because they're harder is actually what students need help on. This has helped me so very much.
Honestly, I can't express my gratitude enough for these videos (I've already subscribed and liked haha).
TheSuaveBOSS THANKS for choosing my channel to learn from and we do appreciate the support...so please keep spreading the word too:D
That's awesome Seiyo, thanks for sharing my channel with others!
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I'd like to spend a nice relaxing weekend wherever your photo was taken!
I appreciate how thorough you are with these properties and examples because even in calculus honors it’s still a constant struggle for me
...I see you are watching another video already so just keep watching and never give up! Maybe you can put together a small study group, all watch my lessons and help each other:)
Mr Tarrou, you are the man. I appreciate all the time and effort that you took to make all of these videos.
and i cant forget all the cool shirts too. Very fashionable, brother.
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Really glad i stumbled upon your channel , my professor kind of zooms through this and i find it hard to understand it at times but with these videos i understand calculus a whole lot better. Thanks alot
Bamm !!! Keep this coming, I truly appreciates your skills. Thank you for helping me get a handle on these concepts. I'm in university first year and this has helped me so much. You are a hero bro who was born to teach math, your passion is what makes you great!
Your videos are amazing. I used them the entire time during my pre-calc class last semester and now I'm in calculus and they help so much. Please keep making them because I have to go through calc 2 haha. You're a great teacher.
You're such an amazing professor! Thank You So Much! I've been watching your videos since my precalculus with Trig and now in Calculus. Finished off my precalc class in 6 weeks and now another 6 weeks of Calculus. Thank You for saving so many lives. Love you!
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This video helped me out soo much! I have a much better understanding of this (especially when you have to deal with an undefined limit). You spoke clearly and you organized the steps to solve the problem very well!
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I am making these videos as I plan to teach Calculus for the first time this year after teaching high school 17 years. While a get the basic understanding of the squeeze theorem, I do not feel like I have enough mastery of it to make a video just yet!
Thank you for that motivating comment. I'm working on my Geometry library right now and then I will try to build my Calc library up. That is the only class I have not taught full time in my 17 year teaching career. I love teaching and try to stay away from all the everyday drama...helps to keep life less frustrating:) Thank you for subscribing and glad my channel was so helpful for you...please share with others who would benefit:D
Thanks for responding...for the time being I will look at more pictures now that I know where it is and dream about relaxing by the lake:) Thanks again for watching!
I love your baby steps... It covers really everything!!! I hope you keep uploading Calculus videos...
scientists should make 1 million copies of you then distribute you all over the world cause YOU ARE THE MOST AMAZING MATH TEACHER EVER (i swear all the math teachers i've met in my life sucked)
LOL...I'm still laughing, that was a good one!
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Please keep spreading the word:D
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Just a question, at 18:40, isn't it supposed to be negative one over sixty four? Thanks.
My thoughts exactly.
FourLeafPoker I hope you kept watching for a few more seconds! Thanks
+Andy Nakmanee lol that's funny because I saw that and immediately went to the comments to make sure I was not crazy, while if I waited 2 seconds would have seen the correction
love the way he teaches.
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Sir, you did it again!!! Thank you again I completely forgot about the option to factor for the quotient rule! Thank you for your help!
+knucklechukka BAM!!!
Like many other students out there, I like to thank you for taking your personal time out and making these videos. Your lectures and examples have been tremendous help through out my math classes. I am stepping into the calculus world next semester, knowing that you have calculus lectures and examples I am at ease.
Not sure why many teachers do not take their time out and help students to understand the materials like you have been doing. I guess this is why it makes you unique and your work speaks for itself. I can go on and on about teachers, anyways thank you so much, and hopefully you continue to make videos. BAM go make more videos :)!
THANK YOU for taking the time to share your appreciation and gratitude for all the time and hard work that has been invested into this channel over the past 6 years to help it continue to grow and help all the other self-motivated students like you! I still teach full time and that keeps me extremely busy.
I hope to have add more videos if time allows...but I'm teaching 4 preps again this year so it's not looking too good:(
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Hi ProfRobBob, truly amazing what you have done here, I can't Thank you enough for helping me grasp these concepts. Incidentally the photo is Great Central Lake, Vancouver Island B.C. on the way to Long Beach National Park. The beauty of this part of the world is truly amazing....
These vids are the only thing keeping me alive in calculus, thank you! lol
My friend showed me your videos last quarter while i was taking Precalculus: Trig since my professor used PowerPoints slides to teach us. I'm a very big fan of yours and I love watching your videos and reviewing each section with you to practice more. You scared me for a bit when you put -1/16 but we all make mistakes and i saw how you corrected it!
Mirasol Davila just wanted to see if you were paying attention...lolNot really, we do all make mistakes...when I'm in class the students correct me, much like on RUclips, so I just have to make the correction and hope the students see it :( Thanks for watching and understanding and please thank your friend for sharing...over 3 years and we still only have 67,000 subscribers so please keep spreading the word:D
Hey Prof! Your videos have really helped me with beginning to understand Calculus. I was wondering if you had a video on the Squeeze Theorem because I didn't see one. It's the first week of class and my professor already talked about it. Thanks!
Professor RobBob, this is another excellent video/lecture on Finding Limits with Properties includes the old Quotient Rule in Calculus One AB. In examples one and two, equal signs are missing in the final solutions. I hope students pay close attention to these important examples in Calculus.
Thank you so much - in the midst of the online/e-learning we're all doing right now, your videos have been invaluable in giving my students good examples (and have saved me, on my *wonderful* upload speeds - heavy sarcasm there - from spending hours trying to produce the same content you've already provided). Thank you, thank you, thank you, on behalf of my students and myself.
No thank you for keeping me motivated. While I have tons of online lessons, I am still struggling sitting behind a computer all day as I adjust to this distance teaching. I do not like it. If you find I don't have a lesson that suits your needs, or would benefit from an update please reach out to me:) I hope your family and your students stay healthy and sane through this difficult time. Rob
Wow that was great! I sooo agree with TheSuaveBOSS, no need to repeat it! Thanks again!
Joseph Kennedy and THANK YOU again!
I'm glad you continue to find my videos so helpful and it's always nice to see your smiling face watching another one:)
I love your videos! Helped me past my Trig exams and definitely helping out with my Engineering Calc Course!
BAM!!..that's what I'm doing this for:) Thanks for watching and please spread the word, like, SUBSCRIBE and the support the ads of educational channels like mine that help you in order to keep them FREE:)
I'm a big fan of your channel! Your videos helped me tremendously throughout my Trig class. I was wondering though, if you had posted a video on l'Hospital's Rule, as I wasn't able to find one. Just a thought, because after differentiation, it could cut the workload for these indeterminate forms!
YEAH!!! THANK YOU. I am teaching AP Calculus live for the first time this year, and I have been teaching for 18 years. I have been very busy relearning my old Calc skills, working through my textbook, planning, and making Calc videos. I am also teaching three other math subjects this year, so I apologize for my slow reply. I have not relearned l'Hospital's Rule yet and taught it to my class. The AP Calculus AB curriculum does not require that I teach it, and it is in a later chapter of my Calculus book. Because of your suggestion...and others...I do plan on covering this before the AP exams.
Professor: " You guys need to know your function sense, number sense....etc"
Me (in my head): " If I did, I wouldn't be in your class!"
Thanks to you I'm absorbing this material without any headache. Keep up the good work :)
You may want to watch my video Infinite Limits and Vertical Asymptotes. The short answer is yes, if the function approaches Infiniti from the both sides of a. You are saying that the is no real limit when you state the limit is infinity.
8-(x+8) is 8-1*(x+8) so you multiply the -1 through the parenthesis and get 8-x-8 and then that simplifies to -x+8-8 which is -x. I hope this helps and thank you for watching:)
finished pre calc 12 last semester with an A, largely in thanks to you and now i'm in calculus and it is terrifying already but i think these videos will help a lot! thanks again
BAM!!!...nice job on the additional studying with me:)
You're welcome and thanks for subscribing and returning to conquer the work of Calculus together!
Don't forget to share my channel with all your friends too:D
YOU'RE AMAZING. OUTSTANDING. (INSERTS ALL POSTIVE ADJECTIVES I COULD THINK OF) THANK YOU.
BAM!!!
Thank you so much. I have my last math test before my final. I am counting on your videos to help me study.
Parnika Kapur I'm sure you'll pass that test like BAM!!! after all the videos you're been watching:) ...then on to that final and you should pass that with ease!
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Sir,
I can't find any videos anywhere for what I'm doing, which is addition & subtraction of limits. These practice quizzes I'm doing show a graph with curves that end up at 2 different points on both. It'll ask what's fx-gx. I'm realizing the connect the dots game and can follow the instructions asked, subtract. When I'm asked to add, the answer comes out being DNE. The question didn't ask if something exists or not, so why is that the answer??
Thank you Pawan!
Thank you so much for watching!
very very useful and easy to understand.. i love limits now!! haha.. Thank you again :)
+Roscelle Dalman you're welcome:)
thank god you explained y u factor out the function to find the limit if it was undefined as it approaches that number
You are welcome:) I hope you do great!
Yes, and writes everything out, like my old pre-cal teacher, makes it easy to follow, my current cal teacher will say it but won't write it out, which makes a huge different since my background isn't great my high school math teachers didn't teach much
Thanks for studying with Tarrou's Chalk Talk...please like, subscribe and share this free study resource with your teacher for all their current and future students...BAM!!!
I hope you kept watching to see that I caught my mistake:D Thank you for letting me know. It is very hard to know when I have made a mistake like that because the camera does not let me know like my students do!
Oh sorry, skipped over that :D thanks for letting me know that you did actually do it correctly!
Thank you very much, Sir! God Bless you more!
YouMe Park you're welcome again, good to see you are still watching and learning from my channel after 8 months:) We appreciate your likes and continued support!
ah. d'you still remember me, sir? nice! from the start of my college life I'm always looking for the help of my great teacher, that's you btw :) you're always there to make things clearer and easier. Thank you, sir!
YouMe Park and THANK YOU for choosing #ProfRobBob to learn from!
Yes! and you're really helpful sir! I can't really imagine the number of good students that learned from you. Count me in, sir! :)
YouMe Park :)
I wish you were my teacher! :c Thank you so so much, Mr. Tarrou! You're the best haha I brag about you to every one I know! :DD
At 23:00 why is there a 1 in the numerator. I thought once you cancel our both X's it's no longer a fraction.
Does the solution for the square root of 16 being negative or positive 4 apply here?
You rock. Thank you so much for these videos.
I had me nervous there for a second:)
Once again a great tutorial!!!
You're welcome. You could get a study group together with all your friends and watch my videos together and it would be almost like I was your teacher :c THANK YOU for bragging...my wife says to tell you that it looks like someone should be bragging about you from the looks of your photo:) Thanks for subscribing too.
thank you so much i pound what i am looking for
You're welcome mustapha Abdallah thanks for watching and subbing!
that was an awesome video. thank you so much sir.
This man is my angel
Thanks for liking and learning...don't forget to sub, share thru social medias and with your class and especially your teacher...BAM!!!
while im learning i also laugh of your style. specialy when you forgot the 8x8 in 19:00 overall nice tutorial
Jayz Ortiz thanks for choosing #ProfRobBob to learn from and subscribe to!
There is plenty more humor where that came from...BAM!!!
No problem:)
I only have the first 4 chapters covered...just to let you know:/
Yes..I caught that error too:)
Thanks:)
I have more of a question than a comment... Can you have a limit of a function as x approaches some value at infinity? what I mean is it possible to say that: Lim x->a f(x) = ∞, or is that wrong
Wow! it got all intense towards the end c:
great teacher !!!!!!
You are a life saver.
Does that mean you passed your test or that you just feel prepared now?!
ProfRobBob It means both. * inserts cheeky grin *
CONGRATS!!!
Thanks a lot, this helps a ton! :D
good call on finding your own mistake even in the filming of the same video!!! I was about to correct you on that 8*8 but it was not necessary xD
Unfortunately you will find other small mistakes like that which I did not catch!
in the third example, where you divide by 8(0+8), wouldn't the denominator then be 64?
I have a question. Don't we have to mention that x is not equal to 3/2 for the first question and x=-1 for the second question at 8:34?
hey! the 2nd to last question, shouldn't it be -1/64 instead of 1/16 ?
haha...Glad I could help:)
Thanks Bob
+snowzrules you're welcome...thanks for subbing too!
Isn't the answer to the one at 18:41 supposed to be -1/64? Since its -1/(8*8)?
18:40 best part
BAM!!!
Thanks for watching all the way thru too:)
@@profrobbob Good video!
@@Thepianobird please sub and spread the word about this channel thru all social medias too...BAM!!!
I hope you kept watching to see that I caught that mistake!!!
Thank y s much !!
You're welcome Alpha Jalloh !
Thanks for liking and subbing...please tell all your friends and classmates to do the same:D
how do you do it when the limit is approaching infinity?
Here you go, ruclips.net/video/3ORqMWsAMk8/видео.html&feature=youtube_gdata&list=PL67C119EDA6BDE946
Awesome! Thank you soooo very much! I greatly appreciate it!
thanks sir
hamdard zabuli :)
I hope you kept watching to see I caught my error:)
The last example could be trouble if we were to take the negative square root of 9.
At 18:40 shouldn't the answer be -1/64?
Sir please solved this question
Limit ×_0 (1-cos3x) ÷(8t^2)
Never mind. I see the correction in the video lol. Thanks
Thanks for paying attention in class Andy Nakmanee :)
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