periodic function

A periodic function f(t), with a period of 2π, is represented as its Fourier series, f(t) = a₀ + Σ_{n=1}^∞ aₙ cos nt + Σ_{n=1}^∞ bₙ sin nt. If f(t) = { A sin t, 0 ≤ t ≤ π; 0, π < t...

Consider $$$g\left(t\right)=\left\{\begin{array}{l}t-\left\lfloor t\right\rfloor,\\t-\left\lceil t\right\rceil,\end{array}\right.\left.\begin{array}{r}t\geq0\\otherwise\end{array}\...