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f(x)>0AAx in R and is bounded. If lim(n...

`f(x)>0AAx in R` and is bounded. If `lim_(n->oo)[int_0^a(f(x)dx)/(f(x)+f(a-x))+aint_a^(2a)(f(x)dx)/(f(x)+f(3a-x))``+a^2int_(2a)^(3a)(f(x)dx)/(f(x)+f(5a-x))+...+a^(n-1)int_((n-1)a)^(n a)(f(x)dx)/(f(x)+f[(2n-1)a-x]]]``=7//5` (where `a<1),` then `a` is equal to

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