List of practice Questions

The Fourier series representation of a square wave is shown in the figure below. The fluctuations seen near \(x = \pm 1\) are named after which one of the following scientists?

If the curves \(y^2 = 4ax\) and \(y = kx\) cut at right angles, then the value of \(k\) is:

If the curves \(y^2 = 4ax\) and \(y = kx\) cut at right angles, then the value of \(k\) is:

Prove that the function \( f(x) = |x| \), is continuous at \( x = 0 \).