Results 1 to 2 of 2

Math Help - 1 Last Question on Taylor Polynomials

  1. #1
    Member
    Joined
    Feb 2008
    Posts
    102

    1 Last Question on Taylor Polynomials

    I was able to understand all of the questions (after your guys' help, once again, thank you very much) up until this one which kind of reverses the question:

    Suppose that f is a function such that  f(1) = 1, f '(1) = 2, and f ''(x) = \frac {1}{(1 + x^3)} for  x > -1


    a) Estimate  f(1.5) using a quadratic Taylor polynomial.

    b) Find an upper bound on the approximation error made in part (a).
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by larson View Post
    I was able to understand all of the questions (after your guys' help, once again, thank you very much) up until this one which kind of reverses the question:

    Suppose that f is a function such that  f(1) = 1, f '(1) = 2, and f ''(x) = \frac {1}{(1 + x^3)} for  x > -1


    a) Estimate  f(1.5) using a quadratic Taylor polynomial.

    b) Find an upper bound on the approximation error made in part (a).
    The Taylor polynomial of degree 2 for a well-behaved function at a point is f(a) + f'(a)(x-a)+(f''(a)/2!)(x-a)^2. This means you want to find the this Taylor polynomial at a=1 and use the infromation given above.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Taylor polynomials
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 20th 2009, 04:03 PM
  2. Taylor Polynomials
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 7th 2009, 11:37 PM
  3. question on taylor polynomials
    Posted in the Calculus Forum
    Replies: 5
    Last Post: July 23rd 2009, 11:48 PM
  4. taylor polynomials question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 15th 2009, 04:27 PM
  5. Taylor polynomials question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 10th 2008, 06:32 PM

Search Tags


/mathhelpforum @mathhelpforum