If x (t) is a continuous time periodic signal given as
\(x\left( t \right) = \mathop \sum \limits_{k = \left( { - 100} \right)}^{100} j\sin \left( {\frac{{k\pi }}{2}} \right){e^{j\frac{{k2\pi }}{{50}}t}}\)
Then which of the following options is correct.1
x(t) is real and even
2
x(t) is imaginary and odd
3
x(t) is real and odd
4
x(t) is imaginary and even