Apply the initial and final value theorems to find y(o+) and y( oo) for- each of the following transforms. If a theorem is not applicable to a particular transform, explain why this is so.

(a)

(b)

s3 + 2s + 4 Y(s) = s(s + 1) 2 (s + 2)

( ) 4s2 + lOs + 10 y s = --;;--::-;;---:::--

s3 + 2s2 + 5s

(c)
(d)
Y(s) = :l(s3 + 2s 2 + 4s + 1)
s(s + 3)2 s3 - 4s y ( s) - -;-----------:--;---;:,--,----,- - (s + l)(s2 + 4s + 4)
2f)5 Problem