Double Limits

Calculus Level 4

Evaluate the limit for xQx \notin \mathbb{Q} :

limnlimm(cos(m!πx))2n1(cos(m!πx))2n+1\large \lim_{n \to \infty} \lim_{m \to \infty} \dfrac{(\cos(m!\pi x))^{2n}-1}{(\cos(m! \pi x))^{2n}+1}

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