Electronis Discussion

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Consider a single input single output discrete-time system with $x\left [ n \right ]$ as input and $y\left [ n \right ]$ as output, where the two are related as

$y\left [ n \right ]= \left\{\begin{matrix} n\left | x\left [ n \right ] \right |, for\ 0\leq n\leq 10\\ x\left [ n \right ]-x\left [ n-1 \right ], otherwise \end{matrix}\right.$

Which one of the following statements is true about the system?

- It is causal and stable
- It is causal but not stable
- It is not causal but stable
- It is neither causal nor stable

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