Question

Match List - I with List - II

List - I (Property)	List - II (Expression)
A. Change of Scale Property	III. \(L\{f(at)\}=\frac{1}{a}F\left(\frac{s}{a}\right)\)
B. Final Value Theorem	IV. \(\lim_{s\to 0}[sF(s)] = \lim_{t\to \infty} f(t)\)
C. Heaviside's Shifting Theorem	II. \(L\{g(t)\} = e^{-as}F(s)\)
D. First Shifting Theorem	I. \(L[e^{at}f(t)] = F(s-a)\)

• A. A-III, B-II, C-I, D-IV
• B. A-III, B-IV, C-I, D-II
• C. A-III, B-IV, C-II, D-I
• D. A-I, B-II, C-III, D-IV

Hint:

First Shifting: shift in s (frequency). Second Shifting: shift in t (time).

Answer 1

The Correct Option is C