Results 1 to 3 of 3

Math Help - Help Finding Explicit Formula and Error Bound

  1. #1
    Junior Member
    Joined
    Nov 2009
    Posts
    25

    ...

    ...
    Last edited by Porter1; November 2nd 2010 at 08:09 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    5
    Awards
    2
    Sounds like the Taylor polynomial with remainder, to me.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Aug 2009
    From
    Mumbai
    Posts
    83
    I can't think of a formal approach to this problem, but the p(x) is nothing but the Lagrange polynomial interpolation for a set of n+1 data points, while the second P(x) is the Taylor's series approximation of f(x) about x=x0

    Look up the definition of a nth order Taylor's polynomial approximation about a point x=xo and you will have both questions answered.

    But it would be more useful if someone could throw light on the derivation of the Taylor series expansion.


    1)http://en.wikipedia.org/wiki/Lagrange_polynomial
    2)http://en.wikipedia.org/wiki/Taylor_series
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Finding Explicit formula for a recursion
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: December 15th 2010, 08:44 PM
  2. Replies: 1
    Last Post: October 30th 2010, 11:37 AM
  3. Replies: 0
    Last Post: August 13th 2010, 01:03 PM
  4. Replies: 3
    Last Post: February 19th 2009, 03:20 AM
  5. Finding the explicit formula and the 100 term
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: November 26th 2007, 09:53 PM

Search Tags


/mathhelpforum @mathhelpforum