CONJUGATE METHOD for solving limits (KristaKingMath)
Вставка
- Опубліковано 2 жов 2024
- ► My Limits & Continuity course: www.kristaking...
The conjugate of any binomial term a+b is just the same binomial, but with the sign flipped in the middle. So if the original binomial is a+b, then its conjugate is a-b. If the original binomial is a-b, then its conjugate is a+b.
It makes sense then that the conjugate method for solving limits involves multiplying both the numerator and denominator of a rational function by the conjugate of either its numerator or denominator.
If we're going to use this method, then we have to identify either the numerator or denominator of the original fraction as a binomial term. Then we'll find the conjugate of this binomial and, to avoid changing the value of the original function, make sure to multiply both the numerator and denominator by the same conjugate, so that in effect we're multiplying by 1.
This method is usually use when the binomial term includes a square root, because multiplying by the conjugate will cancel the square root and make it easier for us to solve for the limit.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
● ● ● 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.kristakingm...
FACEBOOK // / kristakingmath
TWITTER // / kristakingmath
INSTAGRAM // / kristakingmath
PINTEREST // / kristakingmath
GOOGLE+ // plus.google.co...
QUORA // www.quora.com/...
Im taking calculus online without having taken a precalc class and I did not even know what a conjugate was. This video helped me so much, thank you! Was explained quickly and simply
you are a life saver, thank you very much. i really appreciate you from the deep of my heart.
+half full I'm so happy to be able to help!
@@kristakingmath same
Wow! I love your pedagogical approach of explaining each step as you go. So many tutorials do not do this - assuming one is already familiar with each constituent part. Most of the time that is correct, but when it isn't, oh boy you're in trouble! Great tutorial! Thanks.
You're very welcome, Brent! I'm so glad the step-by-step detail was helpful! :)
@@kristakingmath still confused on how we get (sqr)2 + 2/(sqr)2 + 2
THANK YOU SO MUCH MY FINAL IS TOMORROW AND I REALLY NEEDED THIS
Wow! What an absolutely amazing video on the conjugate method. Your explanations are perfect. Speed is just right. Great job
Bless you, I’ve been looking for this for so long
:)
this is soooo helpfull im doing an exam tomorrow ill update!
I hope the exam went great, haya! :)
I know why you chose to do it this way; however, this is actually a problem for which factorisation _does_ work; x - 4 = (sqrt x + 2)(sqrt x - 2).
thnkz Teacher
But last Step how To make
Radical 4+2=2+2
I was thought it will be Radical 4+2 =Radical 6🤔
You're using the same explanation like my university lecturer but truth be told I got nothing in those days
Thank you for helping me from this video💖
You're welcome, Bincent!
at 1:11 you say that you cannot factor which is wrong. you can actually factor the numerator using the differences of squares method, meaning that the numerator would become (sqrtx - 2)(sqrtx + 2). You could then divide because you have the same value in the numerator and denominator, which ultimately leads you with (sqrtx + 2). For those who are just trying to learn the conjugate method however, what was explained in the video does work.
Thank you so much! It was super informative. I was wondering tho, if both the numerator and the denominator have a radical, whose conjugate do I use?
try to factor terms out, or try algebraic long division
Mam this problem can be directly solved by " L-Hospital "
Thanks this was a very helpfull video☺
...Good day Krista, An alternative way to solve your limit is by treating the numerator x - 4 as a difference of squares: x - 4 = (sqrt(x) - 2)(sqrt(x) + 2), then the limit becomes: lim(x-->4)(sqrt(x) + 2) = 4... I'm sure this is not new to you... Take care, Jan-W
Thanks Krista King for explaining in such a fantastic manner
Very helpful ☺️. Thank you
thanks
You're welcome, Jerico! :)
Hotter than listening to khan academy
You made this so simple to understand, even giving little examples of why you did certain operations at certain times. I could never understand conjugates but you make it so freaking easy, thanks so much, God bless your soul
what if I don't get the same factors in both the numerator and the denominator?
+Unruly King Then conjugate method probably wasn't the method to use. You might want to try factoring instead.
+CalculusExpert.com I also tried that but it didn't work.
Is multiplying by conjugates only for when radicals are present? Thanks 👍
Why didnt i know about this channel until now!!!, You are amazing!! So simple and straight to the point, thabk you very much.
May i know why the value of square root of 4 we take the positive value only which is 2? What about - 2?
Couldnt you just use L’Hopitals rule on this?
Very helpful for me.
ua-cam.com/video/AyJsHC4OYCM/v-deo.htmlm25s conjugate method starts here
Thank you angel.
Thanks for good look for you.
Question :- for limit and continuty about Ebsolom and delta can you give me example and explain?
I finally understand what on earth conjugate is and its purpose from the final parts of the video.
Oh good! I'm so glad it helped! :)
Good video
Why does multiplying by a conjugate solve the problem as opposed to say multiplying by some other arbitrary fraction (=1), that doesn't change the identity?
Sun Jay It only works with the conjugate if you get the same factors in both denomerator and numerator that cancel. Using any other fraction (=1) in this case wouldn't accomplish that.
got it, thanks!
So conjugate just means opposite sign
Yes!
Thank you very much ma'm
thanks for help on finals
You’re welcome, I’m happy to help!! Hope finals went great!! ❤️❤️
Hi, I like how you explain this question and thanks
Glad it was helpful!
thank you very much......❤🙏
Exam in an hour, you are a god
I hope it went well!
Thanks!!!
You're welcome! :)
you the goat
❤️❤️
Thanks for the help! Great video!
You're welcome, J! I'm so glad it helped! :D
Your channel is a gemstone
Thank you so much, ashkan! :)
Very helpful!
Thank you so much Krista!
You're welcome, Chase! :D
What about
Limit √x-4/x-4
x->4
You need to use l'hôpital's rule
You need to use l'hôpital's rule
TYSM!!!
You're welcome, Zoe! :D
Literally amazing. Explained something I’ve been stuck on for days and you actually explained each step without using mental math in 6 minutes. Bless you 🙏🏼
in this vidio i underestood what i haven"t undroostood for many times thank you
You're welcome, Maajid, I'm so glad it made sense! :)
Thank u