# How to simplify this

## 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

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the sum from 1 to infinity I'm guessing?

What are you trying to show?

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

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Office_Shredder
Staff Emeritus
Gold Member
Do you know how to simplify

ak/aj by combining their exponents?

is it a^(k-J)

Office_Shredder
Staff Emeritus
Gold Member
So here a=e and what are k and j?

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)

Office_Shredder
Staff Emeritus
Gold Member
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?

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

• 96.1 KB Views: 370
Office_Shredder
Staff Emeritus
Gold Member
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

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

ok thanks for the website

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I have to go I will check you replay in one hour thanks for the help

Check the subtraction of the fractions in the exponent.