limit as n-> infinity of (e^(2n)+e^(n))^(1/n) Apparently the answer is e^2 but I'm completely clueless how to solve other than probably using ln. Any help would be nice, thank you!
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Originally Posted by negligible91 limit as n-> infinity of (e^(2n)+e^(n))^(1/n) Apparently the answer is e^2 but I'm completely clueless how to solve other than probably using ln. Any help would be nice, thank you! , and now: , as you can easily check by applying L'Hospital to Tonio
You also can use the sandwich rule...
It is easy to note that
Is... (1) Now You have to compute the limit of (1) if n tends to infinity... Merry Christmas from Italy
Thank you very much everyone, I ended up having trouble using L'Hospital's Rule to simplify to e^2 but chisigma's post helped me find another way to solve the problem as well as use L'Hopital's. Thanks!