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  3. prove or disprove let f be a realvalued function defined...

Question: prove or disprove let f be a realvalued function defined...

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prove or disprove

Let f be a real-valued function defined on [1, +infinity), satisfying f(1) = 1 and f'(x) = 1/( x2 + ((f(x))2 ).
Then lim f(x) exists ( x -> infinity ).

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