Limits and Continuity (KristaKingMath)
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- čas přidán 11. 07. 2024
- ► My Limits & Continuity course: www.kristakingmath.com/limits...
Learn about limits and continuity, how to use different techniques to the find the limit, and how to categorize different types of continuity.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingmath.com
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QUORA // www.quora.com/profile/Krista-...
This is the clearest explanation of Limits I've ever seen. Thank you!
Awwww, you made me smile! I'm so glad the videos have been helpful for you; that's all I ever hope for! :)
hi Krista mam
Iam Shivanya
I am watching ur lectures, i have some doubts regarding ur lectures can u help me to solve them
i hope u will agree and help me out.
I learned more in a 8 minute video than 2 hours of lecture.
Dude... Same here.
Could it be that's it's really hard to teach a full class of people!?!?!?
oh!! she uses simple basic ideas to express her work work and that´s really cool. it helps me see higher calculus in another perspective, am so delighted to discover here!!!!!
thank you so much!
u r better than facing a tutor, so professional. keep it up . wish u all the best :)
This is a wonderful lecture. She had everything prepared and you could see the whiteboard as she spoke making it easier to understand, plus she presented all this material in under 10 minutes which means I could see the whole lecture in one viewing. And making me inclined to see the video a second time later to re-enforce the concepts..
i'm so glad you think so! just keep practicing and working on these, and they'll definitely get easier! :D
I'm still at 3 minutes but it felt like a Month of learning in my school! hahah Amazing to see that this is actually 5 years ago! :D
You have great skills of explaining difficult concepts quite easily. Thanks a lot for uploading so many videos. They helped me a lot and to a million others who watched these videos.
I really like your videos and use them for my online calculus class. I require the students to watch your video then do a short quiz. Keep up the good work!
+Tuesday J. Johnson I'm honored. Thanks for letting me know!
Finally grabbed this. Thanks !!
Krista you are a very good lecturer and your teachings are the thumb rule to plot the dynamics of space and time, architecture and engineering. Congrats and keep up the good work.
it does, thankyou. your very easy and relaxing to listen to, and you explain things very well and in depth
I love that you say "quantity" before using parentheses. It's one telltale sign of quality math instruction.
Thanks for the feedback! That's what I was hoping for. :)
I'm so glad you're feeling more comfortable about it now! :)
I'm Most grateful you have shone a golden beacon of light upon my exam
This was absolutely wonderful! Thanks so much! I loved the crazy graph.
Just started learning this in class, your videos are great!
Wow that helps me too much, your explaination is much better than my teacher's explanation
you put this together very well, thank you very much!
I'm so glad I could help! :)
ya know, my prof. spent about a month covering what you covered in 8 minutes. no wonder so many people in my class are confused! Wish my school had you teaching calculus.
I'm so glad I can help! :)
one of my favourite youtube tutors, keep it up
Aw thanks Sabrina!
You are awesome! You clearly explained everything within a small amount of time.
Your explanations on the general concepts and the application of those concepts are clear and precise!
Helped me a lot in understanding the core idea of limits and continuities. Thank you!
You're welcome, I'm so glad it helped!
Krista King
Thanks a bunch Krista, your tutorial video was extremely helpful ^^
I literally learned more in the first two minutes of this video than the first three weeks of class. I mean I could do all my work, but I didn't really understand it until now. Thanks!
Glad you liked it! :)
This one was a little more difficult for me (I'm just beginning), but I got a lot from it. Your a GREAT teacher! Good job! I enjoy your graphs. VERY helpful.
The best CZcams channel to learn calculus on youtube
Thank you so much, rithik, I'm honored!! :D
If only I had searched youtube a week ago! This video (along with your others) cleared up so much confusion that was not able to be fixed by my textbook book or any tutors. Thank you for making these awesome videos!
You're welcome, I'm so glad the videos are helping!!
I'm glad I could help simplify the material! :)
awesome! So glad it could help. :)
This is the best video I have ever seen! Good Job you have helped me and others out tremendously. Thank you.
you're welcome, i'm so glad it's been helpful!!
Thank you for defining a general limit. My teacher is very technical but not once said anything so simple as a general limit.
Thankyou. Your videos really clear up many confusion i have
why do I even bother to drive to the University when I can sit here at home and watch your videos which actually explain MORE in 8 minutes than my book and professor combined. This video really helped out. Thank you for taking the time to produce such helpful and high quality content. Being on your channel makes my internet bill more than worth it. Thank you
perfection! This is what I need to pass AP Calc. You are a life saver!
I'm so glad I could help! :)
thanks! yeah, i've got lots of videos about domain. just type "integralcalc domain" into youtube and they'll all come up. :)
I really enjoyed this video. I barely got away with a B on my pre cal course last semester and I am getting ready to take Cal I in a couple of weeks. This one video has already helped me greatly. I look forward to watching your other videos on calculus. I'm going to need it! Thank you!
I hope I can help along the way!
This is good and your also pretty! And you have an awesome voice now this is the voice that people can use to teach because it's nice to hear and doesn't make you bored.
Your amazing Krista, I have learned more in 8 minutes than 1 week of my professor's lectures, please keep up the great work, your a blessing from God Krista King. Thanks.
I'm so glad the video helped, Vincent! :)
Excellent presentation! Very clear and professional (it doesn't sound at all "ad hoc" with pauses, "ums", etc. On the final graph--I understood the basics of everything you said--but am left curious (and a bit puzzled) about those limits (3 - 5) with empty and filled-in points, with the filled in point being the value of the function. Have subscribed!
Thanks for subscribing! It's just that the filled-in point always gives the actual value of the function, but you can still find a limit at those non-filled-in points (a general limit if it's a point discontinuity, or a one-sided limit if it's an endpoint).
thank u!! glad that i subscribed to your channel.keep uploading such good videos.great job
Thank you so much for subscribing! :D
I wish I could learn all the math from someone this beautiful.. Thanks for the vid, by the way! :)
I love u too! :) Realize that tanhx=sinhx/coshx. If u check out my video on hyperbolic identities, you'll see that sinhx=(e^x - e^-x)/2, and that coshx=(e^x + e^-x)/2. When u divide the sinhx identity by the coshx identity, u get (e^x - e^-x)/(e^x + e^-x). Remember that e^-x goes to 0 if x goes to +infinity, and that e^x goes to 0 if x goes to -infinity. If u plug those values in, u get a limit of 1 as x goes to +infinity, and a limit of -1 as x goes to -infinity. Hope that helps! :)
Wow this really helped!I take AP Calculus at a college and this helped me understand limits and continuity more!Thanks so much!!
+Haseeb Shah Glad I could help!
You just made my life easier... Thank you!
i'm so glad the videos are helping!! :D
I'm so glad, thanks for letting me know! :)
That was pretty good.
Loved the overall presentation and the clear explanations.
Thanks!
The function simplifies to f(x)=x+2. So, when you plug in x=2, you get f(2)=2+2=4, so the coordinate point is (2,4). However, the function is undefined at that point, since plugging 2 into the original function gives you 0 in the denominator, which means it's undefined at that point. Hope that helps! :)
thanks..you've really been very helpful..cant thank you enough
I swear some teachers get the jollies whenever their students don't understand and make things unnecessarily difficult. Thank you for clarifying math and keep up the good work!
thanks a lot, u made it real easy
thanks for the vid ... good work!
this is excellent explanation, well done keep up the good work, no one has given a better explanation than this.
+Pj Murphy Thank you so much!
Yet again another excellent video! Thank you so much!!!
Thanks!
Your videos are so freakin awesome! thank you!
This was really helpful, I've only just started working on calculus and I've been looking forward to it for quite some time. this is a great introduction video!
I hope my videos can continue to help as you get going! :)
Thanks for letting me know! :)
your videos helped me a lot so thank you
Awesome! So glad you like them. :)
Geeez! So well explained. Thank you very much
I'm so glad you liked it!!
Thank you for this series, its a great review before my final lol.
Your professor was likely able to go into more details, but I'm glad the video seemed to clear things up for you. Thanks for the comment! :)
Extremely helpful and clear thanks so much.
+Nadir Yusuf You're welcome, glad it helped!
If you didn't take it already, good luck on your test! If you already finished it, then I hope it went great!! :)
Probably a better explanation than my math teacher gave!
Great Help !!! .... Thank You Very Much .... :)
Also, for the jump discontinuity, how do we know which value would be for the one coming from the left and the one coming from the right?
For example, on a graph, will the higher value always be matched to x that approaches a from the right?
You're great!! Thanks for the help!!
:D
The video was great and it also helps that you are easy on the eyes thanks hon. :)
you're welcome, i'm so glad!! :)
This helps a lot! Thank you! 😁 I’m working on my bachelors in science and I need to take 2 calculus classes so this helps a lot!
Oh good, I'm so glad it helped! :D
Thank you for this, i have my test on this tomorrow :-)
Thanks . Now I've got some clues to make limits easier for me.
Outstanding explanation! thank you so much
+Francisco S You're welcome, I'm glad you liked it!
Uh, you are so wonderful! Awesome explanations, and you made everything so clear! You are amazing, thank you!!
Aw thanks Maude! :)
Thank you very much for the tutorial. Quality of the video is remarkable though
I'm so glad you liked it!
Am having a lesson within next few minutes about what U`ve just explained. The last lecture I couldnt get the thing and I was planning to skip the today`s one... :-D
Thanks so much, today I`ll be comfortable in the class :-)
i'm so glad, you're welcome!! :)
Plug and chug!! Next time I define a function for a customer I'll advise them to just plug and chug!! Great video too!
Nice Job Krista
Keep going :)
really enjoyed the video :)
awesome!! thank you! :)
Great job!! thanks..just curious, do you have any videos on Finding the domain of the functions?? thanks
Awww, you're very sweet, thank you! :) And geez, what a cool job to get to do! Good for you, and congratulations, I hope you make it to NASA!! :)
thank u , u r better than my instructor
I've never thought that i can finally understand,thank you so much i finally realised the general logic of Limit
I'm so glad it could help!
That would be awesome, thanks! :)
thank u calculus expert...
the outstanding and excellent explanation... i really like it... again thnksssss alooooooooot.
+usman khan You're welcome!
I am very stupid when it comes to mathematics, but you made things look very simple.
Thank you very much.
Wow, it really helps when it's all presented so clearly like that! Are you planning on teaching Calc? You would make a great teacher!
well, that was clear as mud :) heheh thanks for posting.
Hi Krista, thanks for uploading all this great material. You are definitely in my top 3 favorite calculus lecturers on youtube. It's a toss up between you, patrickjmt, and mathbff. You're really good at breaking down complex ideas into their simplest terms, and you have such a sweet and relaxing voice, which puts me at ease when I'm trying to learn. By the way, the link in your description for the limits & discontinuity formula sheet appears to be broken.
Thanks Gabe! I'm definitely in good company then. :)
thanks u explain soo good it was great help
:)
Regarding the first example you give with the x+2
why did u plug in positve 2? shouldnt u plug in negative 2?
Thank you so much! You are a life saver!
Glad I can help! :)