How to simplify this

  • Thread starter Jac8897
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  • #1
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Homework Statement



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


Homework Equations



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


thanks

The Attempt at a Solution

 

Answers and Replies

  • #2
the sum from 1 to infinity I'm guessing?

What are you trying to show?
 
  • #3
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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]
 

Attachments

  • #4
Office_Shredder
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Do you know how to simplify

ak/aj by combining their exponents?
 
  • #5
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is it a^(k-J)
 
  • #6
Office_Shredder
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So here a=e and what are k and j?
 
  • #7
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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)
 
  • #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?
 
  • #9
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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
 

Attachments

  • #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
 
  • #11
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http://img694.imageshack.us/img694/5802/homework1.png [Broken]

ok thanks for the website
 
Last edited by a moderator:
  • #12
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I have to go I will check you replay in one hour thanks for the help
 
  • #13
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Check the subtraction of the fractions in the exponent.
 

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