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How to simplify this

  1. Nov 5, 2009 #1
    1. The problem statement, all variables and given/known data

    e^(1/n+1)/e^(1/n)


    2. Relevant equations

    this is for a series test "ratio test" I need to simplify it I went blank in this part


    thanks

    3. The attempt at a solution
     
  2. jcsd
  3. Nov 5, 2009 #2
    the sum from 1 to infinity I'm guessing?

    What are you trying to show?
     
  4. Nov 5, 2009 #3
    i got the answer that this series converges because any number multiply by 0 = 0 but i want to know how to deal with that part look at my attachment

    this is the ratio test for calc 2 [An+1/An]
     

    Attached Files:

  5. Nov 5, 2009 #4

    Office_Shredder

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    Do you know how to simplify

    ak/aj by combining their exponents?
     
  6. Nov 5, 2009 #5
    is it a^(k-J)
     
  7. Nov 5, 2009 #6

    Office_Shredder

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    So here a=e and what are k and j?
     
  8. Nov 5, 2009 #7
    so e^(1/n+1)-(1/n)
    can i do this ?
    (1/n+1)-(1/n)

    lcd (n+1)(n)
    (n^2+n)

    so e^(n^2+n)
     
  9. Nov 5, 2009 #8

    Office_Shredder

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    I think there are some missing parentheses

    By (1/n+1) do you mean 1/(n+1)?

    You definitely did not do 1/(n+1)-1/n correctly (or 1/n+1-1/n as order of operations would have it be). Why would you just multiply their denominators?
     
  10. Nov 5, 2009 #9
    sorry I see what i did wrong I attached a picture of what I think would be the correct way can you double check it

    thank you
     

    Attached Files:

  11. Nov 5, 2009 #10

    Office_Shredder

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    If you post an attachment we have to wait for it to be approved. You might want to put it up at imageshack.us or something and then give us a link to it to make it go faster
     
  12. Nov 5, 2009 #11
    http://img694.imageshack.us/img694/5802/homework1.png [Broken]

    ok thanks for the website
     
    Last edited by a moderator: May 4, 2017
  13. Nov 5, 2009 #12
    I have to go I will check you replay in one hour thanks for the help
     
  14. Nov 5, 2009 #13
    Check the subtraction of the fractions in the exponent.
     
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