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What is the simplified value of y(n), if

\(y(n) = \sum_{n=-5}^5 \sin (2n) \delta (n + 7) ?\)

This question was previously asked in
ESE Electronics Prelims 2021 Official Paper
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  1. sin 10
  2. - sin 10
  3. 1
  4. 0

Answer (Detailed Solution Below)

Option 4 : 0
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Detailed Solution

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\(\rm y(n) = \sum_{n=-5}^5 \sin (2n) \delta (n + 7)\)

n + 7 = 0

n = -7

which does not lie in between -5 ≤ n ≤ 5

hence y[5] = 0

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