Would someone be kind enough to explain to me what would be the Fourier series of $f(x)=1$ and $f(x)=x$ on $[0,1]$?
See, all the equations I can find are for intervals of the type $[-L,L]$. Now I don't know what $f$ is on $[-1,0]$, so I can't tell if it's even or odd, nor how to use the formula given here, since I am not sure whether I can use $L=1$ as my interval isn't symmetric about 0.
Just need an short explanation for $f(x)=1$ and $f(x)=x$ so I can figure out the right way to use those equations. Also, I am asked to use series that contain only sine terms and only cosine terms. Does that mean I need to apply some kind of restriction or will it just come out that way regardless? Thanks.