## anonymous 3 years ago help with the following sequence

1. anonymous

$a _{n}=e ^{2n/(n+2)}$

2. anonymous

I ln both side ( after putting the limit) and then used the hospital rule but my book solved it in a completely different way :/ and came to a different answer. So, I'm kinda lost on how to solve it

3. anonymous

multiplied ln to both side*

4. anonymous

what does "solve" mean in this context?

5. anonymous

you have $a_n=e^{\frac{2n}{n+2}}$ what are you trying to find?

6. anonymous

if you are looking for $\lim_{n\to \infty}e^{\frac{2n}{n+2}}$ then since $\lim_{n\to \infty}\frac{2n}{n+2}=2$ the answer is $$e^2$$

7. anonymous

Sorry I was gone for a while but yea it was what I was looking for^^