Limits Using Rationalization

Evaluate a limit with a radical in the denominator of a rational function by rationalizing the denominator before using direct substitution

Пікірлер: 20

  • @sweeting6075
    @sweeting60754 жыл бұрын

    This is literally one of my homework questions, thank you for explaining it! I can't wait to try the ones that come next

  • @StacheBoltz
    @StacheBoltz3 жыл бұрын

    Thank you so much for explaining this! I enjoyed understanding how it worked and i got this one correct on my math homework!

  • @shrinivas7068
    @shrinivas70682 жыл бұрын

    Why can't we apply L hospital's rule?

  • @haru8482
    @haru84824 жыл бұрын

    thank you so much, i finally answered my homework for pre-cal❤️

  • @kenjid6493
    @kenjid64932 жыл бұрын

    I rarely comment and I just wanna thankyou for this, you're a life saver wishing u all the best in this world 💗💗

  • @jan-willemreens9010
    @jan-willemreens9010 Жыл бұрын

    ...Good day to you, You called your method "rationalizing the denominator", well I've got an alternative way to solve your limit(x-->9)((x - 9)/(sqrt(x) - 3)) and I'll call my method for fun "derationalizing the numerator". First of all I want to rewrite the numerator x - 9 by treating it as a difference of squares as: x - 9 = (sqrt(x) - 3)(sqrt(x) + 3), then replacing the numerator x - 9 by this expression and after cancelling the common factors of top and bottom in the original limit, we get the solvable form: lim(x-->9)(sqrt(x) + 3) = 6. I hope you liked this way of solving your nice limit... Thank you for your educative efforts and take good care, Jan-W

  • @androidnandu
    @androidnandu3 жыл бұрын

    Thank you 🇮🇳

  • @halcyonkiyo
    @halcyonkiyo Жыл бұрын

    Thank you

  • @CC-kg6vs
    @CC-kg6vs Жыл бұрын

    bless your soul

  • @imperialrecker7111
    @imperialrecker71114 жыл бұрын

    what happens if the limit is x->infinity?

  • @EE-Spectrum
    @EE-Spectrum3 жыл бұрын

    Why did you only use the positive square root of nine (3), thus getting 3+3=6, but you didn't use the negative square root of nine (-3), thus you would have gotten also -3-3=-6?

  • @pedrohenriqueberti5125
    @pedrohenriqueberti51252 жыл бұрын

    slk valeu pela ajuda, tava precisando e não sabia como racionalizar fração thanks 💖 💗 💙 💚 💛 🧡 💜