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Match List-I with List-II and select the correct answer using the options given below:
| List-I |
List-II |
| a. $${\alpha ^n}u\left( n \right)$$ |
1. $$\frac{{\alpha {z^{ - 1}}}}{{{{\left( {1 - \alpha {z^{ - 1}}} \right)}^2}}}{\text{ROC}}:\left| z \right| > \left| \alpha \right|$$ |
| b. $$ - {\alpha ^n}u\left( { - n - 1} \right)$$ |
2. $$\frac{1}{{\left( {1 - \alpha {z^{ - 1}}} \right)}}{\text{ROC}}:\left| z \right| > \left| \alpha \right|$$ |
| c. $$ - n{\alpha ^n}u\left( { - n - 1} \right)$$ |
3. $$\frac{1}{{\left( {1 - \alpha {z^{ - 1}}} \right)}}{\text{ROC}}:\left| z \right| < \left| \alpha \right|$$ |
| d. $$n{\alpha ^n}u\left( n \right)$$ |
4. $$\frac{{\alpha {z^{ - 1}}}}{{{{\left( {1 - \alpha {z^{ - 1}}} \right)}^2}}}{\text{ROC}}:\left| z \right| < \left| \alpha \right|$$ |
Answer & Solution
Correct Answer:
Option
D
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