What are removable and non-removable discontinuties
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- Опубликовано: 13 окт 2024
- 👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cancel out the discontinuous factor and is said to be non-removable when there is no factor in the numerator which can cancel out the discontinuous factor.
To find the discontinuities of a rational function, it is usually useful to factor the expressions in the function and we then set the denominator equal to 0 and solve for x. The value of x for which the factor appears in both the numerator and the denominator is the point of removable discontinuity while the value of x for which the factor appears in only the denominator is the point of non-removable discontinuity.
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why do some professors make it so complicated to articulate it...... this man is a blessing
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@@brianmclogan please give some example like this 3x² + 2 / x² - 6x + 9
@@zainabali3676 The only singularity in your example is at 0.
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Super easy explanation
I just wanted to let you know that I would not have passed college math classes without your videos. As a 32 year old woman in college, a lot of the concepts taught in highschool were forgotten and you have truly helped me so so very much and I am so thankful :)
Just realized his students can rewatch his lessons at any time. That must be amazing.
But they won’t
@@DrSlick They won't need to with how good he is at teaching but if I ever needed to I would love that
I'm currently studying for my Calc. I final exam, this saved me so much time from flipping through my endless notes. Thank you!
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Doing Webassign for Calc 1, stared at a problem for over an hour, trying many different methods to no avail, watched this video and within 2 minutes in I figured it out, problem wasn’t even difficult this man just explains everything so well.
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Okay so ive been sitting and swearing for an hour over one of my review problems for my test on tuesday. This video just answered it. Thank the lord!!!! Omg i was not gunna sleep lol ur videos really help so much.
happy to be able to help you out!
I have a test on this tomorrow, this video helped a lot! Thank you
Very clear and concise.Thank you for educating very well!
Quick, clear, simple. Outstanding! Thank you!
My teacher first solve it then she first confuse herself and end up confusing the whole class
But now I can understand it thank you so much 😊
That really helped. I was having trouble with removable and nonremovable discontinuity. That cleared it up. Thank you.
wowwwwwwwwwww i just had a 90-minute ap calc ab lecture and didnt understand how to determine removable vs nonremovable. happy to say i learned it frmo you in a few mins haha. thank you so much for the great videos Mr. McLogan!
Wow, it's not that I'm dumb, but that every explanation had been overcomplicated! God bless you, I'm jealous of your students
Brooooo this made so much more sense. The PreCalculus and calculus have now connected in my head. Thank you so much. Thus makes way more sense. My professor just showed us where on the graph its discountinuous. But not in the rational function itself....
This video is perfect. But you might be asked whether the GRAPH’s discontinuity is removable or not, so be careful
Thanks, man. Been really benefitting from your videos. Much appreciated.
about to take my calc midterm. Thank you professor for this video.
you are very welcome Yeny! best of luck
Love you sir
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oh my god this is very helpful thank you so much...my lecturer only taught us how to determine the discontinuities on a given graph and not this part🙏
Basically if you want to observe it in the form of continuity equation that means ❗LHL(x--->a-)=RHL(x--->a+(but not equal to) f(a)(x=a)❗. So this thing makes it removable dis CTS. And vice versa of non-removable.
This whole page will be my reason for passing the AP Exam
thank you, wish my teacher just emphasized the literal definition. I did not know that this had to do with factoring
wow thank you very much ...the short lecture was just amazing
you have saved me from a bad grade. thank you
brian always coming in clutch
Better than my current teacher that’s for sure
Thank you so much! Just watched 5 videos that didnt really help me understand how to identify both
This man is a blessing
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so thankful for your videos! I hope you have the best day ever thanks for everything!
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So the non-removable discontinuties are the vertical asymptotes and the removable discontinuties are holes in the graph?
Yes, that is an excellent way to put it.
Imagine having him as your calc teacher 🙏
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lmfao much better than my professor who has more than 50 years in teaching math.
thanks for the video..
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Thanks, Brian
thank you.
regarding range it would be 1 and 2 right?
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Thank you, this helped me understand for my test tomorrow💀
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Thanks
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HOLD UP THIS IS PRE CALC STUFF????? THIS IS IN MY ALGEBRA 2 CLASS DF YOU MEAN PRE CALC
"Christian Slater" does math :P Good videos!
That X=-4, is the X value of the hole point
Still confused 😅. I have 3/x and it’s different from all these examples. Does it have a removable or non removable discontinuity? If anyone sees this could you explain pls I’m struggling here 😭
hey queen, i just solved this problem and im sorry if im late. but basically, there is no removable discontinuities for 3/x cause you cant factor anything, therefore, they don't exist (DNE). there is one nonremovable discontinuity which of course would be 0. You can't get rid of it!
@@gio3798 ahhh thanks u came in clutch I legit have a math test in two days 😭
Is “Jump Discontinuity” another name for a non removable discontinuity?
u are awesome !
Hey any tips for Core 1, Core 2 and D1 exams , thanks
Good stuff but...you keep saying "asymptopes" which makes me a little crazy. Or maybe I'm hearing it wrong. Or maybe I'VE been saying the word wrong all these years.
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Is there something wrong at 3:35
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How to prove that a point is not a removable discontinuity ?
If you are just doing algebra, then you use factorization, as in the video. If you have learned calculus, though, then you should find the limit. If the limit exists, then it is removable.
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Don’t mind me just trying to learn some math because none of the notes from my teacher are helping me
legend
when its not removable we called it jump ?
My professor couldn’t teach me this... he thinks he’s so smart but can’t teach this basic math
mf made his students late for the next class 💀
"Asymtope"
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