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    Let f(x) be a function defined for x>=1, f(1)=1 and df/dx=1/(x^2+f(x)^2)
    Prove that limf(x) exists and is less than 1+(pi/4)

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    Let be a function defined for , and
    Prove that exists and is less than

    Proof. Since , we know that f(x) is an increasing function. So, when , . Now ...

    Solution Summary

    This shows how to prove that a limit exists and is less than a given value.