# 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:

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