Finding Limits an Algebraic Approach

In this video we will find limits of functions algebraically using simplification methods such as factoring, rationalizing, and simplifying.
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Пікірлер: 75

  • @dball87
    @dball87 Жыл бұрын

    In seven minutes you just taught me what my calculus teacher couldn’t in two weeks. Thank you!

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    Glad to help

  • @starks8400

    @starks8400

    Жыл бұрын

    I just bombed a test over this exact subject and now I see it was so easy 😂

  • @zz-rb4bc

    @zz-rb4bc

    2 ай бұрын

    Less, the intro took a minute

  • @ralphwaddell4577
    @ralphwaddell4577 Жыл бұрын

    Could not have been clearer! You just cured me of my looming AP calc stress entirely, what an absolute life saver.

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    Thank you so much for the kind words! Glad I could help! Please share with your friends

  • @ananyaajoynair
    @ananyaajoynair3 жыл бұрын

    Oh my gosh! It's like you are a mind reader with topics! I just am starting AP Calc AB!!!

  • @themathandphysicstutor

    @themathandphysicstutor

    3 жыл бұрын

    Awesome!! Videos will be posted throughout the year- AP Calc AB is the course I teach 🤗 Please help spread the word to others who might find this channel helpful!!

  • @jan-willemreens9010
    @jan-willemreens9010 Жыл бұрын

    ... A good day to you, When I finished watching evaluating the indeterminate limit #5, I was thinking of an alternative way to solve the same limit as follows: lim(x-->4)((sqrt(x + 5) - 3)/(x - 4)) (Rewrite the denominator (x - 4) as: (x - 4) = (x + 5) - 9 and treat this new expression as a difference of two squares: (x - 4) = (x + 5) - 9 = (sqrt(x + 5) - 3)(sqrt(x + 5) + 3) to finally cancel the common factor (sqrt(x + 5) - 3) of numerator and denominator to obtain the solvable limit form: lim(x-->4)(1/(sqrt(x + 5) + 3)) = 1/(3 + 3) = 1/6 ... to my surprise it works out; hope you appreciate this alternative approach too ... Thank you for your great math efforts, Jan-W

  • @haziqasif2004
    @haziqasif2004 Жыл бұрын

    Is the solution for lim x approaches to -2 |x+2|/(x+2) equal to does not exist or i can do something more?

  • @pafrAmamA
    @pafrAmamA5 ай бұрын

    if you arrive at #/0, this does not necesarily mean that the limit is DNE. I am seing many cases in which they do in fact exist, while being #/0.

  • @pafrAmamA

    @pafrAmamA

    5 ай бұрын

    Sorry, so ive figure out, if x --> 0, its in these cases where #/0 is not DNE

  • @Matt-nr3eu
    @Matt-nr3eu3 жыл бұрын

    just started ap calc and this helped a lot

  • @themathandphysicstutor

    @themathandphysicstutor

    3 жыл бұрын

    Im so happy to hear that. My school year starts next week and then you can expect regular content throughout the whole year. If you have trouble with anything let me know. And help me spread the word about about the channel! We are kind of new and want to help as many kids as possible! We feel so bad for what you guys are going through! Have a great day!

  • @taufik3782
    @taufik3782 Жыл бұрын

    My calculus revision was completed by this ... ❤️ Thanks from india ...

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    Thank you

  • @jonykhan4395
    @jonykhan43956 ай бұрын

    Good work, could I say when a function itself is not able to produce output at a specific input and it haults the operation at a specific x value. To overcome this situation we take help from the limit and limit helps us to take out of this situation. After calculating the limit value we GIVE THIS VALUE TO THAT FUNCTION WHICH WAS Not PRODUCING ANY OUTPUT AT SPECIFIC INPUT??? iF THIS IS THE CASE THEN can say that function and limit both are different BUT it is the limit which helps the function which was trapped on a specific value and now because of limit function is able to walk smoothly again?? In a result could I say that whenever a function trapped in an undefined situation, we have to bring in LIMIT at this point?? please help me out! thanks.

  • @user-ju9ku9dx8u
    @user-ju9ku9dx8u5 ай бұрын

    How do I solve if its like this lim { 2, x { x^2-2x+1, x>= -1 x-> -1 both of the limit is different, so does this mean the limit does not exist? (I got 2, and for the bottom I got 4)

  • @parthapratimojha7531
    @parthapratimojha75316 ай бұрын

    Such an underrated channel you just nailed it ma'am😊

  • @themathandphysicstutor

    @themathandphysicstutor

    5 ай бұрын

    Thank you so much 😀

  • @Dalmonius
    @Dalmonius4 ай бұрын

    This is truly a life saver! I was in total despair in my calculus course thinking it is just IMPOSSIBLE, but now I see it's not that bad thanks to you. Thank you zilions!!

  • @themathandphysicstutor

    @themathandphysicstutor

    4 ай бұрын

    You're very welcome!

  • @elmoreglidingclub3030
    @elmoreglidingclub30305 ай бұрын

    This is really, really good. I want to get a fast as you are with the algebra. Can you recommend any videos. I love your approach and clarity. I am specifically interested in fractions and factoring. Many thanks!

  • @themathandphysicstutor

    @themathandphysicstutor

    4 ай бұрын

    Thank you so much. It comes with practice

  • @haileychoi6958
    @haileychoi69583 жыл бұрын

    super helpful, thank you!

  • @themathandphysicstutor

    @themathandphysicstutor

    3 жыл бұрын

    Thank you

  • @ehigieisrael6041
    @ehigieisrael6041Ай бұрын

    Example number 2 isn't it supposed to be 1, because -2² is -4 which will make the numerators -4+4+4=4 and the denominator =4 which will be 4/4=1?

  • @curtpiazza1688
    @curtpiazza16886 ай бұрын

    Very well organized and explained! 😊

  • @themathandphysicstutor

    @themathandphysicstutor

    6 ай бұрын

    Thank you! 😊

  • @JayAgustin-ic5cl
    @JayAgustin-ic5cl5 ай бұрын

    the method in number 2 is the difference of two squares, right? I'm looking forward to your response. Thank you!

  • @themathandphysicstutor

    @themathandphysicstutor

    5 ай бұрын

    The denominator uses difference of two squares. The numerator uses sum of cubes. :)

  • @gooseleechproductions9626
    @gooseleechproductions962610 ай бұрын

    Thank you so much!

  • @themathandphysicstutor

    @themathandphysicstutor

    10 ай бұрын

    You're welcome!

  • @oyizaelizabethodu449
    @oyizaelizabethodu4496 ай бұрын

    Thank you for this tutorial

  • @themathandphysicstutor

    @themathandphysicstutor

    6 ай бұрын

    You're welcome 😊

  • @siyabusaphezisa5058
    @siyabusaphezisa50582 жыл бұрын

    good lecture thank you.

  • @themathandphysicstutor

    @themathandphysicstutor

    2 жыл бұрын

    You’re welcome

  • @savindusathvin4478
    @savindusathvin4478 Жыл бұрын

    Thank You!!!♥👍

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    You are so welcome

  • @abdullahyousaf9602
    @abdullahyousaf9602 Жыл бұрын

    dam you really explained everything so clearly !

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    Thank you

  • @BJA_Films
    @BJA_Films Жыл бұрын

    You're saving my grade!

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    That’s what I’m here for. Please share with anyone else who needs savings

  • @dennethbayabay6052
    @dennethbayabay60527 ай бұрын

    thank you ☺

  • @themathandphysicstutor

    @themathandphysicstutor

    7 ай бұрын

    You're welcome 😊

  • @Upendo-cz8lt
    @Upendo-cz8lt4 ай бұрын

    You just saved my grade 🥳 This is really great 💓

  • @themathandphysicstutor

    @themathandphysicstutor

    4 ай бұрын

    Glad I could help!

  • @jazminmauricio5442
    @jazminmauricio54425 ай бұрын

    THANK U

  • @themathandphysicstutor

    @themathandphysicstutor

    5 ай бұрын

    You're welcome!

  • @user-cr6ep4gv5s
    @user-cr6ep4gv5s Жыл бұрын

    Wow brilliant work there

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    Thank you

  • @hulk_buster8466
    @hulk_buster84669 ай бұрын

    Thank you this helped me

  • @themathandphysicstutor

    @themathandphysicstutor

    9 ай бұрын

    No problem

  • @simfromzim
    @simfromzim Жыл бұрын

    What a great use of 7 min!

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    I agree

  • @mkvsanh
    @mkvsanh Жыл бұрын

    where did x-4 come from for the top on number 5? i thought we had x-5+9 up there

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    -5+9=4 :) we just combined

  • @mkvsanh

    @mkvsanh

    Жыл бұрын

    @@themathandphysicstutor thank you! 🤦‍♂️

  • @PrismaticCatastrophism
    @PrismaticCatastrophism Жыл бұрын

    0:27 isn't 4th exactly like 1st? In both situations you get a direct answer. It's just a whole number.

  • @themathandphysicstutor

    @themathandphysicstutor

    10 ай бұрын

    Many students get confused with an undefined answer vs. a 0 answer, hence the distinction.

  • @rheya02
    @rheya02 Жыл бұрын

    awesome!

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    Thank you! Cheers!

  • @AddisBer-rj1bm
    @AddisBer-rj1bm Жыл бұрын

  • @ummemuhammad1238
    @ummemuhammad12386 ай бұрын

    Marvelous love from Pakistan ❤

  • @themathandphysicstutor

    @themathandphysicstutor

    6 ай бұрын

    Thank you

  • @thecatch6299
    @thecatch6299 Жыл бұрын

    Whoa whoa whoa 4:25 this limit is NOT DNE! Do not write that people! Just because the function does not exist where x is approaching, does not mean there isn’t a limit. It means there is either a vertical asymptote, jump, or a removal discontinuity (hole) in your graph. If you get a number/0 after plugging in, that means that your answer can be DNE, infinity, or negative infinity.

  • @thecatch6299

    @thecatch6299

    Жыл бұрын

    @@themathandphysicstutor I’m right arent i?

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    Hi TheCatch- unfortunately you are incorrect. We aren’t looking at one sided limits here, if we were we could describe the limit as positive or negative infinity. The definition of a limit specifically states that the answer must be a number and infinity is not a number. If there was a removable discontinuity we would have gotten 0/0 when originally plugging in. There is most definitely not a jump discontinuity since this is not a piecewise function and is comprised of a quotient of polynomials (which is the type of functions focused on in this video). Since we got a number over a 0, that alludes to a vertical asymptote, which means the graph is approaching + or - infinity which again, cannot be stated as answer to this problem. We say the limit does not exist, and would have to do further investigation using one sided limits to accurately describe the behavior of the function. Hope this helps your confusion. 😊

  • @thecatch6299

    @thecatch6299

    Жыл бұрын

    @@themathandphysicstutor looks like I thought that the limit was as x approached 0, not 2. That was my problem. If it was approaching 0 it would be 1/2.

  • @brentsrx7
    @brentsrx7 Жыл бұрын

    You should really set up a Patreon account for donations.

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    Thank you. You can always leave a “super thanks”. We really are just here to help! Thanks again for the consideration

  • @user-qi3lm5oc5v
    @user-qi3lm5oc5v10 ай бұрын

    why did she forget the negatives

  • @themathandphysicstutor

    @themathandphysicstutor

    10 ай бұрын

    Where?

  • @user-pz4sb7kk9t
    @user-pz4sb7kk9t Жыл бұрын

    I just want to ask questions so can you please send me your email

  • @themathandphysicstutor

    @themathandphysicstutor

    Жыл бұрын

    My tutoring schedule is currently booked. I’ll let you know if I have cancelations. Usually I book up mid school year. Thank you