1.

Let f(x) and g(x) be twocontinuousfunction andh(x)=lim_(n to oo) (x^(2n).f(x)+x^(2m).g(x))/((x^(2n)+1)). ifthelimit of h(x)exists at x=1, thenone root of f(x)-g(0) =0 is _____.

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