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Math Help - prove that the sequence converges.

  1. #1
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    prove that the sequence converges.

    Let [a,b] be a closed interval in R, and suppose {Sn} where n>=1, is a sequence with {Sn | n>=1} ⊂ |a,b|
    Prove that {Sn/√n} where n>=1 converges
    Im trying to prove that it is bounded above and increasing.. So obviously its bounded above by b, how can i show its increasing though?
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  2. #2
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    Quote Originally Posted by calculuskid1 View Post
    Let [a,b] be a closed interval in R, and suppose {Sn} where n>=1, is a sequence with {Sn | n>=1} ⊂ |a,b|
    Prove that {Sn/√n} where n>=1 converges
    Im trying to prove that it is bounded above and increasing.. So obviously its bounded above by b, how can i show its increasing though?

    Try the sandwich or squeeze theorem: 0\leq \frac{S_n}{\sqrt{n}}\leq \frac{1}{\sqrt{n}} ...

    Tonio
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