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Proving Limits

  1. Jan 15, 2009 #1
    Let an= ( 2n ) 4-n, for all n greater than or equal to 1
    ( n )

    Prove that sequence an converges to a limit, and find limn->infinityan.
     
  2. jcsd
  3. Jan 15, 2009 #2
    that was supposed to be

    ( 2n )
    ( n )
     
  4. Jan 15, 2009 #3
    As in, 2n choose n
     
  5. Jan 16, 2009 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    [itex]_{2n}C_n[/itex] is a polynomial in n and 4-n, being exponential, goes to 0 faster than any polynomial goes to infinity.
     
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