# Thread: Euler-Maclaurin Series formula on an infinite series?

1. ## 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.

2. Originally Posted by LatexPineapple
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!

3. you're my savior.