Let f(t) be an even function i.e. f(-t) = f(t) for all t. Let the Fourier transform of f(t) be defined as \(F(ω ) = \displaystyle\int_{-\infty}^\infty f(t) e^{-jω t}dt\). Suppose \(\dfrac{dF(ω)}{dω} = -ω F(ω)\) for all ω, and F(0) = 1. Then

Let f(t) be an even function i.e. f(-t) = f(t) for all t. Let the Four

1.	Let f(t) be an even function i.e. f(-t) = f(t) for all t. Let the Fourier transform of f(t) be defined as \(F(ω ) = \displaystyle\int_{-\infty}^\infty f(t) e^{-jω t}dt\). Suppose \(\dfrac{dF(ω)}{dω} = -ω F(ω)\) for all ω, and F(0) = 1. Then
A.	f(0) < 1
B.	f(0) = 1
C.	f(0) = 0
D.	f(0) > 1
Answer» B. f(0) = 1