n LTI system has the impulse response given by h[n]= u[n+2] + 2 u[n-3] - 3 u[n-7] is 1 pointstable and causalunstable and not causalStable but not causalcausal but not stable

The stability and causality of a Linear Time-Invariant (LTI) system can be determined by examining its impulse response, h[n].

1. Stability: An LTI system is stable if the absolute sum of its impulse response is finite. This is also known as the system being absolutely summable. Looking at the given impulse response h[n]= u[n+2] + 2 u[n-3] - 3 u[n-7], we can see that the impulse response is finite for all values of n. Therefore, the system is stable.

2. Causality: An LTI system is causal if its output at any time depends only on the current and past inputs, not on future inputs. This means that the impulse response h[n] must be zero for all n < 0. In the given impulse response, h[n] = u[n+2] + 2 u[n-3] - 3 u[n-7], we can see that h[n] is not zero for all n < 0 (for example, h[-3] = 2). Therefore, the system is not causal.

So, the system is stable but not causal.