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Let f and g be two continuous and let h ...

Let f and g be two continuous and let h be defined as
`h(x) = lim_(n rarr infty)(x^(2n) f(x) _ x^(2m) g(x))/(1+x^(2n))`
where m is a fixed positive integer
If lim_(x rarr 1) h(x)` exists then a real root of f(x) - g(x) = 0 is

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