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Math Help - Euler-Maclaurin Series formula on an infinite series?

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    Euler-Maclaurin Series formula on an infinite series?

    As this is my first post, I don't exactly expect the group to flock to my aid in any way, but my basic problem is lack of familiarity with the way this formula works. Suppose I have an infinite sum that we accept to be convergent. sigma(f(x), i=0, inf)

    How does one apply the Euler-Maclaurin formula?

    I'd rather not go into details of the function in question, as it is homework, and that would be cheating, and cheating is wrong.
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    Quote Originally Posted by LatexPineapple View Post
    As this is my first post, I don't exactly expect the group to flock to my aid in any way, but my basic problem is lack of familiarity with the way this formula works. Suppose I have an infinite sum that we accept to be convergent. sigma(f(x), i=0, inf)

    How does one apply the Euler-Maclaurin formula?

    I'd rather not go into details of the function in question, as it is homework, and that would be cheating, and cheating is wrong.
    The formula is

    f(a) + f'(a)(x-a) + f''(a) \frac{(x-a)^2}{2!} + f'''(a) \frac{(x-a)^3}{3!} + \cdots

    Just plug and chug!
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    you're my savior.
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