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Question
Using Euler's formula, we can rewrite the Fourier series in terms of complex exponentials as: [...]
Answer

\(\displaystyle f(x)=\sum\limits^{+\infty}_{n=-\infty}c_{n}e^{j\frac{n\pi x}{L}}\)

Where \(\displaystyle c_{n}=\frac{1}{2L}\int^{L}_{-L}f(x)e^{j\frac{n\pi x}{L}}dx\).


Question
Using Euler's formula, we can rewrite the Fourier series in terms of complex exponentials as: [...]
Answer
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Question
Using Euler's formula, we can rewrite the Fourier series in terms of complex exponentials as: [...]
Answer

\(\displaystyle f(x)=\sum\limits^{+\infty}_{n=-\infty}c_{n}e^{j\frac{n\pi x}{L}}\)

Where \(\displaystyle c_{n}=\frac{1}{2L}\int^{L}_{-L}f(x)e^{j\frac{n\pi x}{L}}dx\).

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Complex representation of a fourier series
Using Euler's formula, we can rewrite the Fourier series in terms of complex exponentials as: \(\displaystyle f(x)=\sum\limits^{+\infty}_{n=-\infty}c_{n}e^{j\frac{n\pi x}{L}}\) Where \(\displaystyle c_{n}=\frac{1}{2L}\int^{L}_{-L}f(x)e^{j\frac{n\pi x}{L}}dx\).

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