Ah, yes I do! I was assuming that since the sum was written that was supposed to use that. I guess if I attempt to calculate the function with only sine terms the coefficients would be given by: b_{k}=\frac{2}{Pi}\int^{Pi}_{0}f(x)sin(kx)dx. You obtain (-1)^(k-1)(2/k) for the coefficient. This...
Homework Statement
Verify the formula x=2*(sin(x)-(1/2)sin(2x)+(1/3)sin(3x)-...), {x,-Pi,Pi}Homework Equations
The Attempt at a Solution
I guess, I am to show that the sum on the right converges to the function x. I began by rewriting the sum on the RHS as $\displaystyle\sum_{k=1}^k...