Explore BrainMass

Explore BrainMass

    Taylor polynomial

    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!

    See attachment

    1) Calculate the Taylor polynomial of degree n at 0 of the function .
    2)
    • suppose that f''(x)=0 for all . Show that f has the form f(x)=ax+b for some real numbers a,b.
    • let h:(-1,1) be defined by . Prove that there exists a positive integer m such that

    © BrainMass Inc. brainmass.com December 24, 2021, 5:06 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/taylor-polynomial-real-analysis-28201

    Attachments

    Solution Preview

    See attachment

    1) Calculate the Taylor polynomial of degree n at 0 of the function .
    We know that

    So,

    So, the Taylor polynomial of degree n at 0 of the function is
    ...

    Solution Summary

    This shows how to calculate the Taylor polynomial of degree n at 0 of a given function.

    $2.49

    ADVERTISEMENT