Question

What is the second dirichlet’s condition?

(a) In any finite interval, x(t) is of bounded variation

(b) In most of a finite interval, x(t) is of bounded variation

(c) In any finite interval, x(t) is of unbounded variation

(d) In majority  finite interval, x(t) is of unbounded variation

I had been asked this question by my college professor while I was bunking the class.

My enquiry is from Dirichlet’s Conditions topic in chapter Fourier Series of Signals and Systems

Answer 1

Correct choice is (a) In any finite interval, x(t) is of bounded variation

For explanation I would say: 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.