Answer (Detailed Solution Below)

Option 4 : 0
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Detailed Solution

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Concept:

Unit impulse function:

It is defined as, 

The discrete-time version of the unit impulse is defined by

Properties:

1. 

2. 

3. x(t) δ(t – t0) = x(t0)

4. 

5. 

6. 

Calculation:

Using property (3) in the above equation:

As t = 3, lies outside the limit

so y = 0 or we can say that

Hence option (4) is the correct answer.

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