Limits at infinity of quotients (Part 2) | Limits and continuity | AP Calculus AB | Khan Academy

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  • čas přidán 21. 01. 2013
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    Sal analyzes the limits at infinity of three different rational functions. He finds there are three general cases of how the limits behave. Created by Sal Khan.
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Komentáře • 37

  • @rolandocruz1695
    @rolandocruz1695 Před 3 lety +4

    A little bit useful? Are you kidding me? This is gold!

  • @Jaloloype
    @Jaloloype Před 8 lety +27

    I RARELY SAY THIS BUT I COMPLETELY UNDERSTOOD THIS ONE. JESUS MOTHER OF GOD HAIL MARY.

  • @ishotthemoon30
    @ishotthemoon30 Před 11 lety +2

    Beautiful. Your explanations make apparently difficult concepts easier to grasp. Thanks Sal :D

  • @EmosewaChan
    @EmosewaChan Před 8 lety +3

    Thank you i have a calculus midterm this week, bless your soul ;w;

  • @duci586
    @duci586 Před 10 lety +1

    You're a life savior.

  • @lkarim44
    @lkarim44 Před 9 lety +1

    Thank you soooo much you made it so easy!!!! 👍 your a life saver

  • @MrLadyluver18
    @MrLadyluver18 Před 11 lety +2

    I just mastered Limits. They are as easy as x approaching infinity - infinity.

  • @shihasabdulsathar9812
    @shihasabdulsathar9812 Před 11 lety +1

    Dear Mr SAL
    THANX 4 DIS GREAT VIDEO

  • @caiopinheiromoura2117

    Excelent!

  • @ca3502
    @ca3502 Před 9 lety

    Many Thanks!

  • @LuanCristianThums
    @LuanCristianThums Před 11 lety

    YES, that was a little useful, sir.

  • @obliviondew9268
    @obliviondew9268 Před 7 lety

    thaaaaaanks forever !

  • @kanishk9490
    @kanishk9490 Před 2 lety

    NICE

  • @arian3643
    @arian3643 Před 11 lety

    NICE :)

  • @Sabrijabro
    @Sabrijabro Před 11 lety

    Nice :)

  • @adisonchua6025
    @adisonchua6025 Před 6 lety

    What happens if the numerator is higher than the denominator but it is the negative would than make it negative?

  • @hunner8811
    @hunner8811 Před 11 lety

    Nice

  • @frederikengelmann1893
    @frederikengelmann1893 Před 3 lety

    but the last one is a slamp asymptote right??

  • @sunghyunahn241
    @sunghyunahn241 Před 10 lety

    well as x nears towards negative infinity, it is on the "negative" side of 0, but there really we don't call 0 "negative" or "positive" 0, so the answer is just 0 :D

  • @alexandertrimino
    @alexandertrimino Před 8 lety +1

    I'm confused by the last one. Wouldn't the limit not exist since 4/250 times(infinity) does not equal 4/250 times(-infinity)?

    • @structurenepal2312
      @structurenepal2312 Před 7 lety +1

      Nope. You cannot approach infinity from both sides as infinity is an end point.

  • @Altinore
    @Altinore Před 10 lety

    hey wait if anyone can pause after the second problem
    2:43
    and tell me why it isnt infinity while the bottom is going to have an x in it the infinity in this problem is negative so shouldn't 1 be incredible bigger.. or am i just super wrong here?
    i cant work out the logic (my own logic)

  • @nazerwafayee8891
    @nazerwafayee8891 Před 9 lety

    tanx

  • @robertelsas5682
    @robertelsas5682 Před 9 lety +1

    can someone explain why the LIMIT OF 3 AS "X" APPROACHES INFINITY IS 3?
    (end of problem #1)

    • @danielpare9129
      @danielpare9129 Před 8 lety +2

      +Rob Elsas The limit is 3 because 3 * (x^7/x^7) 3*(1) then the X is gone thus the infinity.

    • @GhostMonkey1218
      @GhostMonkey1218 Před 7 lety +2

      good thing you answered his comment more than a year later lmaoooooo

    • @harley801
      @harley801 Před 4 lety

      @@GhostMonkey1218 You shouldn't do math in a hurry. Math needs patience.

    • @janakamohotti
      @janakamohotti Před 3 lety

      that is y=3 graph. y value remains the same when x approaches infinity.

  • @jjjunneee
    @jjjunneee Před 11 lety

    Thaimovic

  • @muhammadharris
    @muhammadharris Před 9 lety

    FAR FASTER

  • @victorerascol
    @victorerascol Před 11 lety

    NICE

  • @XFPSXZ
    @XFPSXZ Před 11 lety

    NICE

  • @Imcreeepy
    @Imcreeepy Před 11 lety

    NICE

  • @borissnoris
    @borissnoris Před 11 lety

    NICE

  • @blubalub
    @blubalub Před 11 lety

    NICE

  • @BladtMartin
    @BladtMartin Před 11 lety

    NICE