Let f(x)=("lim")(mvecoo){("lim")(nvecoo)...

Let `f(x)=("lim")_(mvecoo){("lim")_(nvecoo)cos^(2m)(n !pix)},` where `x in Rdot` Then prove that `f(x)={1,if x isrational 0,if x is irrational`

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