You're a MATH genius Hero! Teaching is not the art of just teaching but making sure students understand the task as well. Is there a worksheet you can attach to your videos, which would help in working on these videos as you teach. Thanks.
Good work, Does limit solve undefined or indeterminate form types of problems or both ? For instance if a function is undefined 0/0 or indeterminate 1/0 Then can limit be appllied on both bases? Another point is that Do we use limits to determine the y-output where the ACTUAL FUNCITON was unable to determine the y-output? Could we say that both function formula and limit formula ARE NOT SAME?
Limits are a fundamental concept in calculus used to analyze the behavior of functions as they approach a particular point, including handling cases of undefined or indeterminate forms. Let’s break down your questions regarding limits and their application to both undefined and indeterminate forms. 1. Limits and Undefined/Indeterminate Forms • Indeterminate Forms: • A limit can resolve indeterminate forms such as  and . When you encounter these forms, limits allow you to find the actual value that the function approaches as it nears a certain point, which may not be directly computable through substitution. • For example, if you have a function like , substituting  gives . To resolve this, you can factor and simplify, then take the limit as  approaches :  • Undefined Forms: • A limit can also be used to analyze situations where a function is undefined due to division by zero (e.g., ). In such cases, the limit helps us determine the behavior of the function as it approaches the point of discontinuity. • For example, in the case of , the limit does not exist as it approaches infinity or negative infinity, indicating vertical asymptotes. 2. Limits for Determining Output • Using Limits for y-Output: • Limits can provide a y-output where the actual function is undefined. This is often used in situations where we need to understand the behavior of functions around points of discontinuity. • For instance,  can yield a finite number even if  is undefined. This is a key part of defining continuity at a point. If  and  is defined and equals , the function is continuous at that point. 3. Are Function and Limit Formulas the Same? • Difference Between Function and Limit: • Limits and functions are related but not the same. A limit investigates the behavior of a function as it approaches a certain point, while the function itself is the specific rule that assigns outputs to inputs. • The limit provides insights into the function’s behavior at points where it may not be defined or yields indeterminate forms, helping to fill in gaps in understanding. • For example, consider  where  is undefined, but . This means that while the function itself does not have a value at , the limit tells us that as  approaches , the values of  approach .
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@@kimberlynicolemagsino2419 same!
Frfr😇
Online school really makes things harder to learn... thank you so much for this!!
Yeah, I'm having a hard time lately with our activities that totally differs what we've discussed.
i cant believe this comment was 3 years ago
@@naenaedmysteriesI can’t believe this comment was 9 months ago
You explained this better in 5 minutes than my AP calc teacher did in an hour and a half!!
Watching this 5 minute video made this so much more clear than my 2 hours of trying to learn based on my online class Chapter instructions. Thank you!
After you answered the first question in this video, everything made sense to me. You're a goddamn lifesaver, thank you so much.
you break this down perfectly.
Every time I hear "the limit does not exist" there's giggling in my head thinking of the movie Mean Girls
OMG IT jUST HIT ME
@@courtneyhamilton6886 THIS IS LITERALLY WHAT I FIRST THOUGHT OF
i always come to see his videos before my midterms and they're always so helpful
THANK YOU!!!!!!! you wouldn't believe how much this has helped me
you're really making calculus easy for me!!!
YOU MAKE EVERYTHING SO UNDERSTANDABLE THANK YOU
You're a MATH genius Hero! Teaching is not the art of just teaching but making sure students understand the task as well. Is there a worksheet you can attach to your videos, which would help in working on these videos as you teach. Thanks.
I'm from Saudi Arabia and you helped me a lot, thank you ❤️
My teacher made it complicated and now I got across your videos , understood in 5 minutes LOLXD
Omg thank you so much!! It finally clicked and I completely understand!! 🎉
this is really helpful for online and modular students! thank you very much!
Watching this before my midterm, it was helpful. Thank you!!
I only have 30 minutes before my midterms and this helped me a lot. Thank you, sir! you answered all the questions I had for just 5 minutes 😯
Been going over limits for a week in calc... got more from this video than that whole week.
i always hear that guy in the back that always comments on the teacher and that is my most favourite part of your videos
Yep live classroom
THANK YOU I HAVE A TEST TOMORROW AND I DIDN'T UNDERSTAND ANY OF THIS AND YOU MAKE IT SEEM SO EASY
i already knewwww this would be exactly what i needed, and in FIVE minutes!!! tysmmmm
Thank you!!!!!!! at last I can understand how to find the limits in a graph!
Best math teacher!!🔥
Thank u so much for your help, I answered my test because of you
you are a HERO!!!!!!!!
I think you're going o save my life for my math classes.. when the teacher teaches my mind goes blank
Best teacher 🌼🌼🌼
Lifesaver mclogan per usual
It was really nice❤
Thank you, very helpful
I have a final in a few hrs and omg u are the best!!!!!!
Hy I am from 🇵🇰Pakistan your video very helpful for me
extremely helpful thank you
Thank you for your videos like this, it helps me a lot in this pandemic. BTW I'm from Philippines 🇵🇭
rip to that kid who couldn't go to the bathroom at the beginning
So helpful, thank you!
thank you ! you're the best !
Thank you so much! This helped me so much
This man is a god on everything
Thank you!
THANK YOU!
Man you really the king of this youtube math shit💯u helping me alot man you a rl good teacher
10/10 explanation
Good work, Does limit solve undefined or indeterminate form types of problems or both ? For instance if a function is undefined 0/0 or indeterminate 1/0 Then can limit be appllied on both bases? Another point is that Do we use limits to determine the y-output where the ACTUAL FUNCITON was unable to determine the y-output? Could we say that both function formula and limit formula ARE NOT SAME?
Limits are a fundamental concept in calculus used to analyze the behavior of functions as they approach a particular point, including handling cases of undefined or indeterminate forms. Let’s break down your questions regarding limits and their application to both undefined and indeterminate forms.
1. Limits and Undefined/Indeterminate Forms
• Indeterminate Forms:
• A limit can resolve indeterminate forms such as  and . When you encounter these forms, limits allow you to find the actual value that the function approaches as it nears a certain point, which may not be directly computable through substitution.
• For example, if you have a function like , substituting  gives . To resolve this, you can factor and simplify, then take the limit as  approaches :

• Undefined Forms:
• A limit can also be used to analyze situations where a function is undefined due to division by zero (e.g., ). In such cases, the limit helps us determine the behavior of the function as it approaches the point of discontinuity.
• For example, in the case of , the limit does not exist as it approaches infinity or negative infinity, indicating vertical asymptotes.
2. Limits for Determining Output
• Using Limits for y-Output:
• Limits can provide a y-output where the actual function is undefined. This is often used in situations where we need to understand the behavior of functions around points of discontinuity.
• For instance,  can yield a finite number even if  is undefined. This is a key part of defining continuity at a point. If  and  is defined and equals , the function is continuous at that point.
3. Are Function and Limit Formulas the Same?
• Difference Between Function and Limit:
• Limits and functions are related but not the same. A limit investigates the behavior of a function as it approaches a certain point, while the function itself is the specific rule that assigns outputs to inputs.
• The limit provides insights into the function’s behavior at points where it may not be defined or yields indeterminate forms, helping to fill in gaps in understanding.
• For example, consider  where  is undefined, but . This means that while the function itself does not have a value at , the limit tells us that as  approaches , the values of  approach .
thank you sir!
What if there’s no power as + or - then where should I start it from
Thank you :)
thank you!
Love this
sir you are best
On the example A why did we set the X approaching -4^- = is 4 why it is not -4 ?
Very helpful. Thank you. U have done humanity great justice. 🫡
You are fabulous
what type of discontinuity with -6 when your Left and Right doesnt match? I dont see any holes or jumps or infinities
Thank you sir
love from Pakistan🥰
Thank you sir.
You are very welcome!!
I’m new and thanks u just got a new subscriber :)))) thanks for the help u did better then my teacher keep up the good work
you are very welcome! happy to be able to help
Bro this man is the reason I’m graduating High School
Teacher ,could you please add more exercises on this . i still confused cuz i do not get !
How about sir if given is lim x-> 6??
Thankyou
The last 30 secs saved my ass from the last number from my quiz
TY
i actually understood this
I didnt understand
@@kfczingerbox7889 what grade are u
@@footballhighlights7195 year 14
What is g(4) ?
currently watching this to study for my performance final
JOHN 3:16
FOR GOD SO LOVE THE WORLD, THAT HE GAVE HIS ONLY BEGOTTEN SON, THAT WHOSOEVER BELIEVETH IN HIM SHALL NOT PERISH, BUT HAVE EVERLASTING LIFE
Watching it before my math class test
Get it
life saver
Greaaaaaat
🙋👍👍
nice
Lol I just learned this.
thats alright
I don't see on the board maybe the camera was somehow far off from the board
Listening makes everything easier, than reading it. But my teacher's pre record video seems so hard to understand 😫😫
king
Johnny sins is my favorite teacher
Thanks pookie
Bossman
What the maen DNE
does not exist
Does Not Exist.
Normally we would say "Undefined"
Bunch of nerds
❤️🩹❤️🩹