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## MarcLeclair one year ago help with the following sequence

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1. MarcLeclair

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

2. MarcLeclair

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. MarcLeclair

multiplied ln to both side*

4. satellite73

what does "solve" mean in this context?

5. satellite73

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

6. satellite73

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. MarcLeclair

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

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