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    Inequalities

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    Prove that if x>0, then

    1+x/2-x^2/8<(1+x)^(1/2)<1+x/2

    © BrainMass Inc. brainmass.com March 4, 2021, 5:47 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/inequality-proof-function-10766

    Solution Preview

    Proof. Let f(x)=(1+x)^(1/2)-1-x/2 and g(x)=(1+x)^(1/2)-1-x/2-x^2/8. We know that
    ...

    Solution Summary

    This is a proof regarding inequalities and polynomials.

    $2.49

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