Results 1 to 3 of 3

Math Help - Maclaurin Limit, please help

  1. #1
    Newbie
    Joined
    Aug 2009
    Posts
    10

    Maclaurin Limit, please help

    <br />
x ( (x^3 + 3x^2)^{1/3}  +  (x^2 + 2x - 3)^{1/2} )<br />

    So, I start off with breaking an x out from both parts of the equations and get:

    <br />
x^2 \cdot ( (1 + 3/x)^{1/3} - (1 + 2/x - 3/x^{1/2} )^{1/2} )<br />

    Here comes the funky part - I try making two variable changes at the same time, refering to a standard maclaurin polynomial and get:
    <br />
x^2 \cdot ( (1 + u)^{1/3} - (1 + t)^{1/2} ) =<br />
x^2 \cdot ( 1 + u/3 - 1 + t/2 ) =<br />
x^2 \cdot ( 1/x - 1/x + 3/2x^2 ) =<br />
3/2<br />

    The answer should be 1, so, I assume I'm doing something wrong when I switch variables, any hint on what's going wrong?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,713
    Thanks
    1472
    I have no idea what you are doing! Are you taking the limit as x goes to something in particular? If so to what?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2009
    Posts
    10
    Oh lord, sorry, I missed adding that: X goes to infinity
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Maclaurin and mean value help
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 2nd 2010, 02:45 AM
  2. Finding a limit. Finding Maclaurin series.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 18th 2010, 10:04 PM
  3. Finding a limit using Maclaurin Series
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 2nd 2009, 01:23 AM
  4. Limit, Limit Superior, and Limit Inferior of a function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 3rd 2009, 05:05 PM
  5. use a Maclaurin to find a Maclaurin
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 23rd 2009, 01:04 PM

Search Tags


/mathhelpforum @mathhelpforum