Fun with Series 7

Algebra Level 5

\[f(x)=\frac{1}{1+x^2}+\sum_{n=1}^{\infty}\frac{1}{1+(x+n\omega)^2}+\sum_{n=1}^{\infty}\frac{1}{1+(x-n\omega)^2}\]

The function \(f(x)\) is defined above where \(\omega>0)\). Then \(f(x)\) is:


Try my fun series.

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