Q:

1. For the signal x(t)=δ(t)–43e−tu(t)+13e2tu(t). It has how many poles and zeroes at infinity?

0

1. For the signal x(t)=δ(t)43etu(t)+13e2tu(t)

. It has how many poles and zeroes at infinity?

a) 1, 0
b) 2, 2
c) 2, 0
d) 0, 0

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Answer: d
Explanation: Since the degree of the numerator and denominator of X(s) are equal as shown below,
X(s)=1431s+1+131s2
=(s1)2(s+1)(s2)
∴ X(s) has neither poles nor zeroes at infinity.

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