Explore BrainMass

Explore BrainMass


    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    See attached...

    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)

    © BrainMass Inc. brainmass.com March 4, 2021, 6:06 pm ad1c9bdddf


    Solution Preview

    See attachment

    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.