Results 1 to 2 of 2

Math Help - Evaluating a limit

  1. #1
    Super Member
    Joined
    Feb 2008
    Posts
    535

    Evaluating a limit

    lim (x --> -8) of:

    (square root(1-x)) - 3 divided by 2 + (cube root(x))

    I believe I should multiply by the congugate, but I'm not getting anywhere.

    Thanks for any help
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by jzellt View Post
    lim (x --> -8) of:

    (square root(1-x)) - 3 divided by 2 + (cube root(x))

    I believe I should multiply by the congugate, but I'm not getting anywhere.

    Thanks for any help
    I suggest that you first make the substitution x = t^3:

    \lim_{t \rightarrow -2} \frac{\sqrt{1 - t^3} - 3}{2 + t}.

    Now multiply numerator and denominator by the conjugate surd, factorise the numerator, divide numerator and denominator by the common factor and then take the limit.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Evaluating a limit
    Posted in the Calculus Forum
    Replies: 4
    Last Post: July 25th 2011, 09:03 PM
  2. Need help evaluating the limit.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 13th 2010, 07:18 PM
  3. evaluating a limit
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: October 17th 2009, 10:54 PM
  4. Evaluating A Limit
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 1st 2009, 11:43 PM
  5. Evaluating a limit
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 6th 2008, 07:56 AM

Search Tags


/mathhelpforum @mathhelpforum