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Math Help - show monotone and bounded by induction

  1. #1
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    show monotone and bounded by induction

    Suppose { a_n} is defined by a_{n+1}= sqrt(2+ a_n)
    Show by induction that a_n<2.
    Prove the limit.

    a_1=sqrt(2) a_2=sqrt(2+(sqrt(2)))
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  2. #2
    MHF Contributor red_dog's Avatar
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    What is a_1 ?
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