1. For the signal x(t)=δ(t)–43e−tu(t)+13e2tu(t)

. It has how many poles and zeroes at infinity?

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

Answer: dExplanation: Since the degree of the numerator and denominator of X(s) are equal as shown below,X(s)=1–431s+1+131s−2=(s−1)2(s+1)(s−2)∴ X(s) has neither poles nor zeroes at infinity.

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Answer: d

need an explanation for this answer? contact us directly to get an explanation for this answerExplanation: Since the degree of the numerator and denominator of X(s) are equal as shown below,

X(s)=1–431s+1+131s−2

=(s−1)2(s+1)(s−2)

∴ X(s) has neither poles nor zeroes at infinity.