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Sum of infinite series

  1. May 13, 2010 #1
    how would i go about finding the sum of the infinite series 2^k/k!?

    its not a geometric so i cant use the formulas for that so i really have no clue.

    any help would be appreciated
     
  2. jcsd
  3. May 13, 2010 #2

    Dick

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    It might help to know the taylor expansion of e^x.
     
  4. May 13, 2010 #3
    i was thinking that but could that work since thats not a power series?
     
  5. May 13, 2010 #4

    Dick

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    The taylor expansion of e^x IS a power series. It's not geometric, I'm not sure what you are worried about.
     
  6. May 13, 2010 #5
    wait nevermind, i was confusing myself.
    so what im talking about would be the closed form for the taylor series e^2 then, right?
     
  7. May 13, 2010 #6

    Dick

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    I don't see anything wrong with that.
     
  8. May 13, 2010 #7
    thanks
     
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