Calculus Quiz

Calculus Level 5

f(x)=k=1sin(kx)k2f(x)=\sum_{k=1}^{\infty}\frac{\sin(kx)}{k^2}

Find the value of xx, with 0<x2π0< x\leq 2\pi, where f(x)f(x) attains its maximal value. Write x=aπbx=\frac{a\pi}{b}, where aa and bb are coprime positive integers, and enter a+ba+b.

If you come to the conclusion that no such xx exists, enter 666.

×

Problem Loading...

Note Loading...

Set Loading...