Question

Consider the function $f(x)$ for an interval $(-\pi,\pi)$ then which one of the following is NOT correct Dirichlet's condition for a Fourier series?

• A. The function $f(x)$ is single-valued.
• B. The function $f(x)$ is not bounded.
• C. The function $f(x)$ has at most a finite number of maxima and minima.
• D. The function $f(x)$ has finite number of discontinuities.

Hint:

Dirichlet conditions are "sufficient" but not "necessary." Most physical signals satisfy these because they don't have infinite energy or infinite oscillations.

Answer 1

The Correct Option is B