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    Real Analysis -- Real Numbers/Integers Theory

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    Let x be a real number, and let N be an integer ≥ 2. Prove that there exist integers P and Q such that:

    1 &#8804; q &#8804; N and absolute value of [x-(P/Q)] < 1/(QN)

    © BrainMass Inc. brainmass.com March 4, 2021, 6:08 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/real-analysis-real-numbers-integers-theory-31522

    Solution Summary

    A real analysis for integer theory is examined.

    $2.19

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