Now that you have liked and subbed Surenraj Nair I can be your RUclips teacher! It sounds like you are enjoying your learning experience with #ProfRobBob and I hope you will share that and my channel with your friends, class and other teachers as an additional free study reference :D Thanks for the complimentary comment!
I have not done delta-epsilon proofs in a few years and that was when I was just starting to relearn the calculus skills I had forgotten over 15 years of teaching high school. I have been making these videos in preparation of teaching AP Calculus for the first time this year. I did not know I was going to also be teaching 4 subjects at once!!! I still have video and work to do for my Calc class and d-e proofs are not part of the curriculum I have to cover....sorry.
plz never stop this videos!! thx a lot. With your knowledge, you are helping to make this world a better place to live for a lot of people. Greetings from Honduras. :)
You're welcome Robert...and thanks for your support and the kind words! ...and please keep spreading the word about this free math channel and the experience you had all thru Honduras:D
You're welcome. I'm glad you liked my videos enough to like and sub J. Williams ...I hope you will share my channel with all your friends and classmates too!
OMG Professor after looking at to your 1st example i able to answer your all the questions before you explain it woow.Thank you sir i admire you and i'm really glad to take lessons from you
Thank for your speech at the end about short cuts! You are right...hence the reason some students just drop this amazing subject they are too focused on finding a shortcut.
The explanations of properties (previous videos )with appropriate examples from the scratch level makes any one to catch up the concept., really great full and plain.Thank you :) BAM!!!!!
Hi Professor Bob, First I would like to thank you for making all the math videos! I'm taking calculus in college and your videos have been priceless! I really appreciate how you take the time to explain concepts and constantly remind viewers of the properties, etc. when working problems. You are truly an excellent teacher! I have a question at 15:40 on the video when you are solving problem #4. I understand how you got (1) for lim x --> 0 graphically for sin(x)/(x), however if I were to apply the quotient property and take the limit of sin(x) and the limit of (x) I would get 0/0 (of course this is undefined) instead of 1. I'm just confused because I thought that the quotient property, addition property, etc. were fundamental (so to speak) for finding limits that could always be referred back to. Just something I noticed when I tried to solve the problem on my own...
I decided that I would study up on calculus over the summer- your videos are great. I did the same thing on my calc test my first semester. :) Thanks soo much
You're welcome...thanks for seeking outside help and choosing us! Please like, sub and share this free channel with EVERYONE, especially your teacher and classmates...BAM!!!
Preparing right now for my first test in Calc 1, just a review on limits, so it should be a breeze, but these videos help so much. When my teacher doesn't have quite the greatest explanation for things I just come here.
Hope you pass that test like BAM!!! and when you do, please take the time to like, sub and share this free educational channel with all your friends, classmates and teachers and please remind them to do the same:D
+Riyank Arora you're welcome, thanks for studying with Tarrou's Chalk Talk...please take the time to like, subscribe and share this channel and your learning experience with everyone...BAM!!!
On my homework problems, lim as x approaches 0 from the positive direction of sin (4x)/5x looks pretty similar to the last problem you demonstrated....I applied the method you got and ended up with 4/5. Now I know that I won't always look upon the pattern inside the function to get the answer because half of the time it will work but not all the time....So if I am right, BAMM!!!! Hooray for me, ready to ace the final. But if not, let me know why and as always, I keep on doin my homework!! :)
Good evening Professor! At 23:54 you wrote as x approaches 0 of( sin 5x/5x) = 1. However my teacher would write it as 5x approaches 0 of ( sin 5x/5x) = 1. Is either way correct???? Is she trying to match the identity?
The limit as x approaches 20:03 mins of sinx/x = cracks me up! hahha And thanks for teaching the fundamentals of the constant/identity functions, it's really helpful.
24:20 lol at first I thought that sin5x/2x would yield 5/2 after you said it was similar to the sinx/x problem!!! I was shocked until you revealed the answer and believe me I know it is too good to be true. Most other problems would fall harder than this one!! But BAM!!! I am still tryin ! :)
I have a question want to ask you . Lim tan5x/sin2x as X approaches 0, it could be = lim (x-->0) [sin(5x)/cos(5x)] / sin(2x), but since I already know that lim sin5x as x approach 0 is 0 ,why can't I just plug into the function and have a result is zero as x approach 0?
You're welcome Pak Ho Cheng and thanks for choosing, learning, liking and subbing...please spread the word:D Thanks...sometimes I have to remind my students:) lol
Thanks...and you are an excellent student for taking the time to seek outside help to study with...BAM!!! Also, thanks for subbing and please tell everyone to watch and do the same:D
I have suggestion for specific limit problems when you plug in your "c" limit and get the indeterminate form of 0/0 or infinity/infinity. You can take the derivative of the numerator and take the derivative of the denominator separately and then plug your value in. This will give you the correct answer every time as long as it is in the indeterminate form above. Called the L'Hospitals Rule. If you get an indeterminate form again after taking the derivative of top and bottom, just do this process again until you plug your c value in and get the value that it is approaching.
Thank you for the suggestion. My class will not have studied L'Hospitals Rule yet if they use this video for help in my class. Of course most of the people that watch my videos are not in my students:D
If possible, would you be able to make a video on delta-epsilon form of limits? I would be extremely grateful, as that is one of the last things in limits I've still yet to clear up.
In example 7, wouldn't it also be possible to solve that same problem by the sum and difference formula for sin? However, I did feel that your method was shorter than mine, which definitely took some time to write out and expand.
Akshay Manjarekar I never played around with that particular problem using a sum and difference formula to be honest because the technique I showed is quite easy. Thank you for watching:)
+Who Needs My Comfort thanks...I promise it will, hopefully sooner than later:) If you keep up these great study habits and don't let the distractions take over you'll be graduating and wonder where the time went...BAM!!!
Yeah well I do a part time job at Burlington Coat factory and involve in few community service clubs and it's rough for me. I'm a computer science major and I'm taking Tough classes.
I don't understand example 4. I'm confused on how you broke it down to the limit as x approaches 0 of sinx / 4x to 1/4 * sin x/x. Then, I'm confused as to why you substituted 1 into the equation. I understand that it will be undefined at x=0 (and there will be a hole in the graph at that point) but why did you use 1? Is it because it is the closest whole number to 0?
The reason he took sinx/4x and turned it into 1/4 * sinx/x is because he took out the factor of 1/4. For example, 2x can be factored into 2 * x. He substituted 1 into the equation at the end because sinx/x equals 1.
So maybe I missed something but are you saying that 0/0 =1 (anything divided by itself is 1)? Also you may like to know that I took my placement test and I will be starting school in Calc1. A lot of that is because of your help. Thank!
Leave the Matrix When you are finding a limit 0/0 is called indeterminate, meaning you cannot determine if a limit exists or not. I had to use a graph to determine those trig limits because we could not find them analytically. You can never divide by zero even if it is 0/0. There are many forms of indeterminate. Don't use the technique in your class until your teacher covers it because solving limits with algebraic simplification teaches you a lot of skills you will need later, but this lesson about l'Hopital's Rule will explain many forms of indeterminate and help with limits later. ruclips.net/video/5UUrQ6TX7Uw/видео.html
![I.N "HALLUCINATION" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/n5B5q1Hwt_U/mqdefault.jpg)
How i wish he was my professor. Great explanation. You sir are an Absolute role model. Thank you prof.
Now that you have liked and subbed Surenraj Nair I can be your RUclips teacher! It sounds like you are enjoying your learning experience with #ProfRobBob and I hope you will share that and my channel with your friends, class and other teachers as an additional free study reference :D Thanks for the complimentary comment!
Sorry for the extremely delayed reply if you are still watching...you're welcome and THANK YOU!
My new favorite channel to learn Calculus 1, you are the man!!
Thanks! Here is a very organized list of lessons for your Calc 1 journey:)
I have not done delta-epsilon proofs in a few years and that was when I was just starting to relearn the calculus skills I had forgotten over 15 years of teaching high school. I have been making these videos in preparation of teaching AP Calculus for the first time this year. I did not know I was going to also be teaching 4 subjects at once!!! I still have video and work to do for my Calc class and d-e proofs are not part of the curriculum I have to cover....sorry.
plz never stop this videos!! thx a lot. With your knowledge, you are helping to make this world a better place to live for a lot of people. Greetings from Honduras. :)
You're welcome Robert...and thanks for your support and the kind words!
...and please keep spreading the word about this free math channel and the experience you had all thru Honduras:D
I'm glad that this video goes into greater depth the trig functions. I was struggling with this, and now I feel a lot more confident. Thank you!
You're welcome. I'm glad you liked my videos enough to like and sub J. Williams ...I hope you will share my channel with all your friends and classmates too!
That's GREAT!...thanks for choosing my channel to learn from:) I hope you continue to watch and share with your friends!
OMG Professor after looking at to your 1st example i able to answer your all the questions before you explain it woow.Thank you sir i admire you and i'm really glad to take lessons from you
And I'm very happy to have such a motivated student as you Sandakalee Wijekoon to help with my lessons! BAM!!!
Thank for your speech at the end about short cuts! You are right...hence the reason some students just drop this amazing subject they are too focused on finding a shortcut.
The explanations of properties (previous videos )with appropriate examples from the scratch level makes any one to catch up the concept., really great full and plain.Thank you :) BAM!!!!!
+sukumar banda you're welcome and thanks for watching, learning, liking and subbing to my channel...BAM!!!
That is a very good idea:) I have done something similar in other videos but I should leave up the identities through the entire video. Thanks.
Hi Professor Bob,
First I would like to thank you for making all the math videos! I'm taking calculus in college and your videos have been priceless! I really appreciate how you take the time to explain concepts and constantly remind viewers of the properties, etc. when working problems. You are truly an excellent teacher!
I have a question at 15:40 on the video when you are solving problem #4. I understand how you got (1) for lim x --> 0 graphically for sin(x)/(x), however if I were to apply the quotient property and take the limit of sin(x) and the limit of (x) I would get 0/0 (of course this is undefined) instead of 1.
I'm just confused because I thought that the quotient property, addition property, etc. were fundamental (so to speak) for finding limits that could always be referred back to.
Just something I noticed when I tried to solve the problem on my own...
I decided that I would study up on calculus over the summer- your videos are great. I did the same thing on my calc test my first semester. :)
Thanks soo much
Thank you so much!! I am really glad that I found your channel😭.
You're welcome...thanks for seeking outside help and choosing us!
Please like, sub and share this free channel with EVERYONE, especially your teacher and classmates...BAM!!!
Preparing right now for my first test in Calc 1, just a review on limits, so it should be a breeze, but these videos help so much. When my teacher doesn't have quite the greatest explanation for things I just come here.
Hope you pass that test like BAM!!! and when you do, please take the time to like, sub and share this free educational channel with all your friends, classmates and teachers and please remind them to do the same:D
Dude! BAM! You are fantastic! loved the way you explained Limits! Thank you!
+Riyank Arora you're welcome, thanks for studying with Tarrou's Chalk Talk...please take the time to like, subscribe and share this channel and your learning experience with everyone...BAM!!!
I have some challenges with the trig functions involving π|2 or something and their limits.I hope to get more explanation on that.Thank you.
On my homework problems, lim as x approaches 0 from the positive direction of sin (4x)/5x looks pretty similar to the last problem you demonstrated....I applied the method you got and ended up with 4/5. Now I know that I won't always look upon the pattern inside the function to get the answer because half of the time it will work but not all the time....So if I am right, BAMM!!!! Hooray for me, ready to ace the final. But if not, let me know why and as always, I keep on doin my homework!! :)
Finally understand 😩 thank you so much ❤️
Good evening Professor! At 23:54 you wrote as x approaches 0 of( sin 5x/5x) = 1. However my teacher would write it as 5x approaches 0 of ( sin 5x/5x) = 1. Is either way correct???? Is she trying to match the identity?
The limit as x approaches 20:03 mins of sinx/x = cracks me up! hahha And thanks for teaching the fundamentals of the constant/identity functions, it's really helpful.
Always trying to keep math FUN!
You're welcome and thanks for watching..please sub and share:D
24:20 lol at first I thought that sin5x/2x would yield 5/2 after you said it was similar to the sinx/x problem!!! I was shocked until you revealed the answer and believe me I know it is too good to be true. Most other problems would fall harder than this one!! But BAM!!! I am still tryin ! :)
+Who Needs My Comfort good to hear you kept watching:)
You know they are correct when they say "practice makes perfect" so just keep practicing!
Yeah you got that right. Bam still loving your videos
+Sheikh Mahmud :)
I have a question want to ask you .
Lim tan5x/sin2x as X approaches 0, it could be = lim (x-->0) [sin(5x)/cos(5x)] / sin(2x), but since I already know that lim sin5x as x approach 0 is 0 ,why can't I just plug into the function and have a result is zero as x approach 0?
Thanks again Professor Tarrou! Simple and to the point. :D
BAM!!! And thanks for your continued support!
Thanks for the video, it really helps me a lot. No longer confused about them.
(Btw, nice shirt. I like it)
You're welcome Pak Ho Cheng and thanks for choosing, learning, liking and subbing...please spread the word:D
Thanks...sometimes I have to remind my students:) lol
You are an excellent teacher.
Thanks...and you are an excellent student for taking the time to seek outside help to study with...BAM!!! Also, thanks for subbing and please tell everyone to watch and do the same:D
I have suggestion for specific limit problems when you plug in your "c" limit and get the indeterminate form of 0/0 or infinity/infinity. You can take the derivative of the numerator and take the derivative of the denominator separately and then plug your value in. This will give you the correct answer every time as long as it is in the indeterminate form above. Called the L'Hospitals Rule. If you get an indeterminate form again after taking the derivative of top and bottom, just do this process again until you plug your c value in and get the value that it is approaching.
Thank you for the suggestion. My class will not have studied L'Hospitals Rule yet if they use this video for help in my class. Of course most of the people that watch my videos are not in my students:D
If possible, would you be able to make a video on delta-epsilon form of limits? I would be extremely grateful, as that is one of the last things in limits I've still yet to clear up.
In example 7, wouldn't it also be possible to solve that same problem by the sum and difference formula for sin? However, I did feel that your method was shorter than mine, which definitely took some time to write out and expand.
Akshay Manjarekar I never played around with that particular problem using a sum and difference formula to be honest because the technique I showed is quite easy. Thank you for watching:)
Glad I could furnish the life-ring...I hope by the time you read this you passed that quiz with ease:)
Fantastic as always
+Alex Sniff thanks!
I just graduated from highschool, thank you for teaching me after all these times.
You're welcome and CONGRATULATIONS Ivan...glad I could help.
Please sub and share so others can learn for free:D
I already subscribed your channel and ofc i will share it.
Thanks!
I LOVE YOU, Bless your soul!!
Thanks for watching and please keep spreading the word and sharing this channel with everyone...BAM!!!
24:38 nice story you shared Profrobbob :) I am in college and yeah I can't wait for my adultlife to kick in
+Who Needs My Comfort thanks...I promise it will, hopefully sooner than later:)
If you keep up these great study habits and don't let the distractions take over you'll be graduating and wonder where the time went...BAM!!!
Yeah well I do a part time job at Burlington Coat factory and involve in few community service clubs and it's rough for me. I'm a computer science major and I'm taking Tough classes.
So this is what my Calc teacher was talking about last week!!!!! Now I get it......
BAM!!!...look at you watching more videos too:)
These are the benefits of studying...nice job on that Jorge!!!
I don't understand example 4. I'm confused on how you broke it down to the limit as x approaches 0 of sinx / 4x to 1/4 * sin x/x. Then, I'm confused as to why you substituted 1 into the equation. I understand that it will be undefined at x=0 (and there will be a hole in the graph at that point) but why did you use 1? Is it because it is the closest whole number to 0?
I am having the same problem with example 7 of breaking down the limit, as well.
The reason he took sinx/4x and turned it into 1/4 * sinx/x is because he took out the factor of 1/4. For example, 2x can be factored into 2 * x. He substituted 1 into the equation at the end because sinx/x equals 1.
Thanks for everything. You are great!
Thank you prof! Yeah I'm in college and this video helps me a lot! 😉
Awesome...thanks for studying and subbing to my channel!
Please tell all your friends to watch and do the same:D
Yesssss. Love you 👏🏽👏🏽
Thanks for studying, subbing and loving!
Please spread thew word too:D
SOOO Helpful thanks :D
+Alison Jem you are so welcome and THANK YOU for taking the time to like, sub and study with #ProfRobBob !
So maybe I missed something but are you saying that 0/0 =1 (anything divided by itself is 1)?
Also you may like to know that I took my placement test and I will be starting school in Calc1. A lot of that is because of your help. Thank!
Leave the Matrix When you are finding a limit 0/0 is called indeterminate, meaning you cannot determine if a limit exists or not. I had to use a graph to determine those trig limits because we could not find them analytically. You can never divide by zero even if it is 0/0. There are many forms of indeterminate. Don't use the technique in your class until your teacher covers it because solving limits with algebraic simplification teaches you a lot of skills you will need later, but this lesson about l'Hopital's Rule will explain many forms of indeterminate and help with limits later. ruclips.net/video/5UUrQ6TX7Uw/видео.html
i learn from this video i was having a problem on this chapter but now i feel it i will make it thank u sir
You're welcome, glad it helped Nesi Miranda Dlamini and thanks for watching and learning from my channel:)
it helps me lot. thanks
you're welcome...please help us keep growing by liking, subbing and sharing the=is free educational channel:D
THANK YOUU!!
You're welcome...please sub and share:D
this very easy
this has nothing to do with calculus (although his videos are very very helpful ive been watching them for a very long time) but he is so handsomeeee
pinkybananas1 thanks for watching and liking!
Please be sure to subscribe and share my channel with all your friends to help us keep growing:D
you da bomb
diggity
BAM!!!
Please like, sub and share this free educational channel and this "bomb diggity" teaching with everyone...THANKS!
hahahahaha
So, elementary example
only your jump in. lol
good work
BAM!!!
BAAM
Back at ya...
Don't forget to Like, SUBSCRIBE and share:)
haha nice jersey
You pay such attention to detail Prince Jesse ...no wonder you are doing so well in math now:)...lol
haha i had my cape exams for pure maths yesterday.....didn't do that well /:
Prince Jesse Well it certainly was not due to a lack of studying:(
...Maybe you did better than you think:)
ProfRobBob no no i only started studying a day before d exam twas my fault lol
wow you began dating your wife since high school? I'm getting jealous of her✨🌟🌟🌟.
Just since college...and we've been together for almost 30 years now:)