A filter has frequency response \(H\left( {j\omega } \right) = \left\{ {\left. {\begin{array}{*{20}{c}} 1\\ 0 \end{array}} \right|\begin{array}{*{20}{c}} \omega \\ \omega \end{array}} \right.\begin{array}{*{20}{c}} \le \\ > \end{array}\begin{array}{*{20}{c}} {50}\\ {50} \end{array}\) when input to this filter is x(t) with fundamental frequency ω0 is 8 rad/sec and Fourier series coefficient X(k), it is found y(t) = x(t) for all x(t). Find the largest k for which X(k) is non-zero
1
5
2
50
3
6
4
8