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As advertised, this is a good, clear copy of the 2010 printing of Understanding Analysis by Stephen Abbott, with the Instructor's manual appended. to get access to your one-sheeter, The Monotone Convergence Theorem and a First Look at Infinite Series, Subsequences and the Bolzano-Weierstrass Theorem, Double Summations and Products of Infinite Series, Derivatives and the Intermediate Value Property, A Continuous Nowhere-Differentiable Function, Uniform Convergence of a Sequence of Functions, Integrating Functions with Discontinuities, Lebesgue's Criterion for Riemann Integrability, Metric Spaces and the Baire Category Theorem. (b) The objective is to prove that is irrational.. Use the method of the proof of the above theorem to prove that is irrational. 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