A challenger problem on periodic function.

Calculus Level pending

If f(x)=\(\tan ^{ 2 }{ \pi \frac { x }{ { n }^{ 2 }-5n+8 } } +cot\quad (n+m)\pi x\) where n is natural number and m is a rational number.f(x) is periodic function with period 2.Then m can't belong to?

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