I have a general question about the appearances of Fourier Series, and I was wondering if anyone could help me with this. Let us have a function, say $f(x)=e^x$, and let us have the Fourier Sine Series, Fourier Cosine Series, and the Full Fourier Series (General Fourier Series) of $e^x$ on a graph from $x\in(-3,3)$. My question is, how do these Fourier Series differ in appearance, especially on such a small scale? I would assume that they would all be very close to the function $e^x$ on this interval, would there be any distinguishing features between the 3 that would stand out?
2026-05-04 22:45:05.1777934705
Differences in the Drawings of Fourier Series
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