Quiz on Fourier Series

Identify Even function from the following

• x+x²

• x² + x³

• x²

• 1+x

Which of the following functions cannot be expressed as a Fourier series ?

• tanx

• x

• xsinx

• cosx

 $If\ b_n\ =\frac{4}{n\pi}\left\{1-\left(-1\right)^n\right\}\ ,\ What\ is\ the\ value\ of\ b_3\ ?$  

•  $\frac{4}{n\pi}$  

•  $\frac{8}{n\pi}$  

•  $\frac{-8}{n\pi}$  

• 0

A periodic function can be expressed as a Fourier Series if it satisfies (a)   conditions.

What will be the value of

 $a_0$  in the Fourier Series of the above function in  $\left(-4,\ 4\right)$ ?

• 1/4

• 4

• -4

• 0

A half range series consists of

• sine terms only

• cosine terms only

• both sine and cosine terms

• either only sine terms or only cosine terms