1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

More Taylors expansion

  1. May 19, 2008 #1
    I still need help with my first Taylors expansion thread, but this is a seperate problem

    1. The problem statement, all variables and given/known data

    a) Give the formula for the Taylor expansion of the function f(x) about the point x=a. You should include the formula for the coeffiecients of the expansion in terms of the derivatives of f(x)
    b) Find the first three non-zero terms of the Taylor expansion about x=1 of the function

    2. The attempt at a solution

    f(x + a) = f(a) + xf'(a) + x^2f''(a)/2! + ... + x^nf^n(a)/n! ... where f^n(a) means the nth derivative of f(a)

    I think I might have missed the point of this question.

    f(x+1) = 1 + 3x^3.e^(3x-1) + [9x^6.e^(3x-1)+6x^3.e^(3x-1)]/2

    I'm assuming here that exp(x^3-1) means e^(x^3-1), but this isn't notation that's used anywhere else on the paper.
  2. jcsd
  3. May 19, 2008 #2
    Taylor expansion about x = a by definition:

    f(x) = f(a) + (x-a)*f'(a) + (x-a)^2/2!*f''(a) + ...
  4. May 19, 2008 #3


    User Avatar
    Homework Helper

    Use the formula:

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: More Taylors expansion
  1. Taylors expansion (Replies: 7)

  2. Taylor Expansions (Replies: 0)

  3. Taylor expansion (Replies: 0)

  4. Taylor expansion (Replies: 0)

  5. Taylor expansion (Replies: 5)