A continuous time periodic signal $x(t)$ is

$$ x(t)=1+2 \cos 2 \pi t+2 \cos 4 \pi t+2 \cos 6 \pi t $$

If $T$ is the period of $x(t)$, then $\frac{1}{T} \int_0^T|x(t)|^2 d t=$________(round off to the nearest integer).

The Fourier transform $$X(\omega)$$ of the signal $$x(t)$$ is given by

$$X(\omega ) = 1$$, for $$|\omega | < {W_0}$$

$$ = 0$$, for $$|\omega | > {W_0}$$

Which one of the following statements is true?

Consider $$$g\left(t\right)=\left\{\begin{array}{l}t-\left\lfloor t\right\rfloor,\\t-\left\lceil t\right\rceil,\end{array}\right.\left.\begin{array}{r}t\geq0\\otherwise\end{array}\right\}$$$ where $$t\;\in\;R$$
Here, $$\left\lfloor t\right\rfloor$$ represents the largest integer less than or equal to t and $$\left\lceil t\right\rceil$$ denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is _________.

For a periodic square wave, which one of the following statements is TRUE?