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    Real Analysis: Convergent Subsequence of Limit Superior

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    Suppose the lim (subscript n --> infinity) sup a_n = theta is finite. Prove there exists a subsequence that converges to theta. Please view the attachment to see the full question, including necessary symbols.

    © BrainMass Inc. brainmass.com December 24, 2021, 10:57 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/real-analysis-convergent-subsequence-limit-superior-521342

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

    © BrainMass Inc. brainmass.com December 24, 2021, 10:57 pm ad1c9bdddf>
    https://brainmass.com/math/real-analysis/real-analysis-convergent-subsequence-limit-superior-521342

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