Question

help with the following sequence

Answer 1

\[a _{n}=e ^{2n/(n+2)} \]

Answer 2

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

Answer 3

multiplied ln to both side*

Answer 4

what does "solve" mean in this context?

Answer 5

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

Answer 6

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 \(e^2\)

Answer 7

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