Final Value Theorem:- 6, lim xin) lim xCt) ヒ→ lim (1-z) Xcz) (火(00)に
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:i need proof for the 6 Number equation
(5%
lim xen) =
Initial Value Theorem
lin X(Z)
lim x(t) = Xl0)
%3D
ー→ C0
Proof.
Zi xin} =
-2
L xn) Z = C6) + X(1) Z.
nzo
+ x(2) 2 t
%3D
lim XI2)
= X(0)
6,
lim xin) =
Final Value Theoremiz
limxCt) = xl
= X(00 )
lim CI-Z') XCz)
21
Ex Find the final. value of i
X(z) (- Zea)
a
Z-I
lin (l-=') Xcz)= lim (). ),
11
lim I(1-ean) =
%3D
Note.
a
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