Consider a single input single output discrete-time system with x[n] as input and y[n] as output. Where the two are related as
\(y\left[ n \right] = \left\{ {\begin{array}{*{20}{c}} {\;n\left| {x\left[ n \right]} \right|,\;}\\ {x\left[ n \right] - x\left[ {n - 1} \right],} \end{array}} \right.\begin{array}{*{20}{c}} {\;for\;0 \le n \le 10}\\ {otherwise.} \end{array}\)
Which one of the following statements is true about the system?
1
It is casual and stable
2
It is causal but not stable
3
It is not causal but stable
4
It is neither causal nor stable