Calculating a Limit by Multiplying by a Conjugate
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- เผยแพร่เมื่อ 11 เม.ย. 2008
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Calculating a Limit by Multiplying by a Conjugate. For more free math videos, visit PatrickJMT.com
There was an ad before this video starting and a voice that said "Are the videos from 2006 really helping?" My answer is yes, yes they are.
lel same
its from 2008
Ong
I’m getting that ad to this day lmao
right they say that like math ever changes
i am happy that i was able to help you out on exactly what you needed! good luck on your midterm!
thank you!!
Thank you for the videos. My professor assumes that everyone knows how to do this already, but the truth is that I forgot alot of this.
You must be an adult now, wow!
Now I'm suffering to learn this due to pandemic
@@haileen6888 thats crazy time goes by so fast, now I am in the same postion as op, when he/she commented this I was 12
@@silvo9460 really crazy ✨ hope you guys are doing well 🤍
@@haileen6888 y'all are beautiful humans
THE AMAZING THING ABOUT THIS WHOLE VIDEO IS THAT THIS IS THE SAME EXACT PROBLEM I'M WORKING ON RIGHT NOW! THANK YOU!!!!!!!! I ACTUALLY LOVE YOU RIGHT NOW!
@SavageInsight by definition, the square root of a positive number is a positive number.. so the square root of 25 is 5, and not also -5. HOWEVER, do not get this confused with solving an equation such as x^2 = 25. Then we do have to include both 5 and -5 as they are both solutions to the equation. also, graph y = squareroot(x) on your calculator. notice you only get the positive values!
great video! thanks, you really helped me a lot getting through trigonometry, now I'll definitely be looking at your calculus videos, keep up the good work!
professors around the world are able to twiddle their thumbs while you do their work. thanks
You should've gotten the parenthesis in the x+2-9 because you have already applied the foil method and so that the viewers wouldn't be confused. 😊🧡
Actually got confused coz i thought the ones in the parenthesis are conjoined
i was confused about this thank you So much!!!!!!!
Here I was so bewildered and confused thinking he ignored order of operations somehow. Seems it might've just been a writing typo
@I3lak happy to help, good luck!
Such a life saver! I missed a calculus lecture today from being sick and looked up what was going on, Thank you so much! :)
@princetonjet glad u like it : )
@pitmommy69 not sure what you mean... you for sure would not want to multiply out the denominator; if you do, you will not see that the (x - 7) ' s cancel.
I was working a problem for 45 mins until I saw this video. Thank you!
if you do not understand, just post a question here as a comment, and either me or someone else will usually get to it!
Thank you for these tutorials...they help a great deal!
You know what? I'm learning so much from and I feel really blessed. I just wanna thank you from the bottom of my heart! God Bless!
Taking calc now. Last math class was 4yrs ago. Some things were foreign. The professor did a very similar problem and I just couldn't figure out how he used the conjugate to solve. Then he gave us a similar problem for hw. THIS TRULY HELPED! Thanks so much!
@JMSCavaco the square root of nine does not also equal -3.
@saxyhank you are very welcome ; )
@karanaussie try the playlists, everything is organized.
Thanks Patrick. Your videos are truly a tool to succeed.
You're basically my ap calc ab teacher, thank you for this!
Happy that I could help you!
+Brenda Benitez I thought this is Pre-Calculus topic?
Jack Polo Uh no, not in my school or ap calc ab textbook
Thank you so much! This helped me understand the same type of problem I was a little confused on.
thank you your videos on limits really helped me understand our professors last lecture which i was having trouble with :)
THANK YOU SO MUCH FOR MAKING THIS VIDEO IT SAVED MY LIFE
thank you buddy i fell asleep in class everyday so this helps with my trig class
beautifully done. incredibly simple and informative. great video.
@twobattaries ok. it kinda equals 52 as well then
I would die without you. I spend hours on your videos before calculus tests
thank you very much for this...this was a very detailed and clear explanation. this is something that my professor needs to start doing! =)
you sir have aided me in means you will never know, yet i am eternally grateful. thank you
please clear this up for me. when am i suppose to use this technique? is it only when there is a radical add/subtracted by a non radical? what about if its just a radical on the numerator do i multiply bit its conjugate as well?
Thank you so so much! I am going to recommend you to all my friends.
thank you so much this was an enormous help getting from point A to b, thank you!! =D
really helped me a lot. thank you so much
thanks lutetium for pointing this out... i sorta get tired of having to do it : )
I like your helpful videos. Thank you. :)
holy crap, you uploaded this 5 years ago, and it's still helping me out. Thank you so much, explaining step-by-step.....gaawwrd.
5 more years later, here I am ..
P.S: It is STILL helping!!
Good thing math doesn't change much
Thank you this is so helpful
Lol, this question is from "Calculus Early Transcendentals" Chapter 2.3. Man you're helping me pass 1st year calc with no background in it. Thanks a lot. 2 months ago I was sitting in the class like "wtf is a factor?" Great video, keep it up!
Excellent...a hard enough problem to answer my question and clear enough to not confuse me...thank you so much.
15 years later I see this and finally understand, thanks bro!!
Thanks very much for making these :)
Dude!!!! I freakin love you!!! ❤️❤️ thanks a lot!! 😍😘
Thanks a lot, love these small videos, wish you had more examples though
@Eureka3d i practice for one hour each day
This is very helpful.
Thank you very much!
@bobbyboy565 they cancel = they go away, which they do. that is all that people (myself included) mean. use whatever word you want!
Thank you Patrick !!
Thanks! this reaaally helped me.
Very nice and clear. Thanks
Does a function have a limit on every point of its domain as long as it's not an absolute value function or a piecewise function?? If not, how do you know whether or not you should check if the right hand limit equals the left hand limit?
Thank you for the help!
THIS VIDEO HELPED ME SO MUCH
thank you so much!!!! helps me a bunch with my homework
Thanks for the video, very helpful!
glad you like them :)
So glad these videos exist. Haha and relieved.
Thank you, you're helping me survive college Calculus all the way into 2023.
I love you!!! Thank you so much!
You saved my life!!! Ackk, Thankyou!
damn this video’s over 10 years old but it’s still saving lives today 👏🏻
math doesn't change :)
AWESOME! great teacher
The part that you say its too much work to work ( denominator) thats the part i needed to see !!
you are absolutely amazing! thank you!
you. are. incredible. I sincerely thank you, for you have made my life worth living :)
This man is amazing!
@Mr4545723 glad they help
@PIMPMASTATREX dont give up : ) Tons of calculus stuff here, so come back any time
Thanks. This really helped.
at the numerator of (x+2)-9 that went to = -1 as the numerator in the next step, where did that happen?
Thank you sir .u made me understand limit concept
Thank you so much!
How did the numerator change?
my god you are the best ive got an exam on friday ..all my lecturers are shit u are the best
I honestly would've been screwed for my test tomorrow. Thank you for the video! greatly appreciated!
Well explained😊
really helpful thank you so much
@nutella871 glad to ease your stress : )
hey patrick quick question, i understand how this method worked and all but i was tried just squaring top and bottom to get rid of the radical, it ended up not working out and i dont know why
YOU ARE AMAZING!
tnx a lot i will sub all your vids i watch
how about if there is square roots in both numerator and denominator of the question? what should i do?
Lerr Chew I have the same question, do you really multiply by the conjugate twice?
@bobbyboy565 Depends on terminology and popular expression. We use two different words "reduce" to represent inverse multiplication and "cancel" to represent inverse addition. However, almost all of my students associate "cancel" with "reduce". So I've replaced in day-to-day language "reduce" with "cancel" and "cancel" with "additive cancellation" to say which inverse operation is used.
You should make a distinction between the two, because some students will confuse them.
thank you man you saved my ass now i can study for the quiz XD
seriously i wish i had some spare change! these videos saved me from failing calc
Thank you this was helpful! But what if you just had radical x plus 2 in the numerater, without the negative 3? Would the conjugate just be radical x minus 2?
This was the EXACT problem from my homework. What luck!
How would you go about doing lim x->infinity of sqrroot(9x^2+2) over 4x+3?
That was so helpful thank you so much man! I had a really nasty lookin limit and I think il have an answer now! thanks dude!
On all of his videos i get the advertisement for the "The tutor guy . com" and just think who would pay for his tutorials when we have the best tutorials from patrickJMT at a price all of us college kids can afford.. FREE.. Thanks for all your help!
For the (x+2) - 9, I thought you couldn't touch the x+2 because the x and 2 are conjoined together by addition? But you just minused the 9 from it. Explanation please?
True i think the parenthesis is a further operation therefore its not supposed to be minused like that
he foil'ed, so i think that makes the parenthesis drop (which he didn't in this case) but then went to combining like numbers
I have a question tho, what's the limits theorem for this?
Better than my college calc professor 👌👌💯🔥
you are the absolute best.
just wanted to thank you...i solved my problem!
your videos are my new best friend :)
Muchas gracias! Comenzaré a ver todos tus videos *-* Doy gracias por haberme toparme contigo ^^
Fu222 yea! You totally simplified it using a graph chart. Thank you so, much.
You are a kazzillion time better than my PROFESSOR in college!!!