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Math Help - Real Analysis Sequence Question

  1. #1
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    Real Analysis Sequence Question

    Im not sure how to post the picture here so I have as a attachment
    Attached Thumbnails Attached Thumbnails Real Analysis Sequence Question-q2.jpg  
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  2. #2
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    This is just a good ole induction problem for the decreasing/bounded part.
    The because bounded monotone sequences converge you have to solve L = \frac{1}{2}\left( {L + \frac{{a^2 }}{L}} \right) for L.
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