Question

There are maxima and minima not possible in dirichlet’s conditions.

(a) True

(b) False

This question was posed to me in an interview for job.

This is a very interesting question from Dirichlet’s Conditions topic in portion Fourier Series of Signals and Systems

Answer 1

Correct choice is (b) False

The explanation is: Maxima and minima are possible if they are infinite number as stated by the second dirichlet’s condition. In any finite interval, x(t) is of bounded variation. That is there are no more than a finite number of maxima and minima during a single period of the signal.