Explore BrainMass

Explore BrainMass

    Taylor series of polynomial of degree 4

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Find the Taylor series generated by F(x)=x^4-2X^3+5X^2-6X+4 at x= -1.

    A step by step solution is included to explain the concept of finding taylor series expansion of a given polynomial of degree 4 at a given ponit. The same concept can be applied to find the taylor series expansion of other polynomials and functions.

    © BrainMass Inc. brainmass.com December 24, 2021, 7:19 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/taylor-series-polynomial-degree-179428

    SOLUTION This solution is FREE courtesy of BrainMass!

    Hi, please find the solution attached herewith.

    Find the Taylor series generated by F(x) = x^4-2X^3+5X^2-6X+4 at x= -1
    Solution:

    The Taylor series is given by:

    We are given that

    F(-1)= 1+2+5+6+4 = 18
    More higher derivatives will be 0.

    Series will be

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 7:19 pm ad1c9bdddf>
    https://brainmass.com/math/basic-algebra/taylor-series-polynomial-degree-179428

    Attachments

    ADVERTISEMENT