Skip to main content
Search IntMath
Close

IntMath forum | Fourier Series

Discontinous functions - fourier series and taylor series [Solved!]

My question

can a discontinous function can be develop in fourier series and taylar series?

Relevant page

2. Full Range Fourier Series

What I've done so far

Just wondering because I tried to do a few

X

can a discontinous function can be develop in fourier series and taylar series?
Relevant page

<a href="/fourier-series/2-full-range-fourier-series.php">2. Full Range Fourier Series</a>

What I've done so far

Just wondering because I tried to do a few

Re: Discontinous functions - fourier series and taylor series

Hi Gaurav

A function has to be continuous before you can expand it using Fourier or Taylors, and for Fourier the function needs to be periodic.

With Taylors though, you can limit the domain to the continuous part and then expand for that. For example, on this page:

1. Taylor Series

The example on `f(x)=log x` shows that even though it is discontinuous at `x = 0` and not defined for `x < 0`, we can still do a Taylor's series expansion.

Hope that makes sense

X

Hi Gaurav

A function has to be continuous before you can expand it using Fourier or Taylors, and for Fourier the function needs to be periodic.

With Taylors though, you can limit the domain to the continuous part and then expand for that. For example, on this page:

<a href="/series-expansion/1-taylor-series.php">1. Taylor Series</a>

The example on `f(x)=log x` shows that even though it is discontinuous at `x = 0` and not defined for `x &lt; 0`, we can still do a Taylor's series expansion.

Hope that makes sense

Re: Discontinous functions - fourier series and taylor series

Yes it does. thanks

X

Yes it does. thanks

Reply

You need to be logged in to reply.

Related Fourier Series questions

  • Harmonics and Fourier Series [Solved!]
    From my knowledge gleaned from 10 years of music theory: If cos(omega t-phi1) is the fundamental,...

Fourier Series lessons on IntMath

top

Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.